Distance-Time Graph Story Match: 7.P.1.3, 7.P.1.4, 8.F.5 - PRINT ... - Free Printable

Let’s solve this step by step.

We have three distance-time graphs on the left, and three story descriptions on the right. We need to match each graph with the correct story.

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First Graph (top):

- The line goes up steadily → moving away at constant speed.
- Then it goes down sharply → coming back quickly.
- Then it goes down slowly → still coming back, but slower.
- Then flat → stopped.

Now look at the stories:

→ Jenny’s story: “rode at constant velocity until tired… then rode home fast, but not as fast as before… then rested.”
Wait — that doesn’t quite fit. She went out, came back fast, then slower? But in her story, she came back *fast*, then *slower*? Actually, let’s read again:

> Jenny condujo a una velocidad constante hasta la tienda... luego se devió algo y regresó a su casa un poco más rápido, pero aún así todavía constante. Se regresó, se detuvo y pasó la tienda.

Hmm — actually, maybe I misread. Let me translate carefully:

“Jenny drove at constant speed to the store… then turned around and returned home a bit faster, but still constant. She returned, stopped, and passed the store?” That last part is confusing. Maybe it means she overshot? Or maybe it's a translation issue.

Actually, looking at the graph: it goes up (away), then down steep (fast return), then down less steep (slower return?), then flat (stopped). But Jenny’s story says she returned “a bit faster” — so maybe the first return leg is steeper? Wait — no, in the graph, after going up, it goes down very steeply — that would be fastest return. Then less steep — slower. Then flat.

But Jenny’s story says: “regresó a su casa un poco más rápido” — meaning she returned faster than she went? So if she went at constant speed (moderate slope up), then returned faster (steeper slope down) — that matches the first drop. Then what? It says “pero aún así todavía constante” — still constant. Then “se regresó, se detuvo y pasó la tienda.” — This is messy.

Maybe we should look at the other stories first.

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Second Graph (middle):

- Starts flat → not moving.
- Then curves upward gently → accelerating slowly.
- Then curves upward sharply → accelerating fast.

This looks like something starting from rest, then speeding up gradually, then suddenly speeding up more.

Look at the second story:

> Una pelota rodaba a una velocidad constante y luego se detuvo bruscamente. Alguien vino y pateó la pelota y la pelota aceleró su velocidad.

Translation: A ball was rolling at constant speed, then stopped suddenly. Someone came and kicked it, and the ball accelerated its speed.

But the graph starts flat (not moving), then increases slowly, then increases fast. That doesn’t match “rolling at constant speed then stopping”.

Unless… wait — maybe the graph is showing distance over time. If the ball was rolling at constant speed, the graph should be a straight diagonal line. But here it starts flat — so initially not moving. Then it starts moving slowly, then faster.

That doesn’t match the ball story.

Wait — perhaps I’m misunderstanding the graph.

Let me re-express:

In distance-time graphs:

- Flat line = not moving (distance not changing)
- Straight diagonal line = constant speed
- Curved line getting steeper = accelerating (speeding up)
- Curved line getting flatter = decelerating

So middle graph: starts flat (at rest), then curve upward with increasing slope → accelerating.

Which story fits that?

Third story:

> ¡Amy caminaba de un lado a otro a una velocidad constante mientras esperaba las buenas noticias!

“Amy walked back and forth at constant speed while waiting for good news!”

If she’s walking back and forth at constant speed, the graph would go up and down repeatedly — like a zigzag. And indeed, the bottom graph is a zigzag — going up, down, up, down — which matches walking back and forth.

So bottom graph → Amy’s story.

Now, back to middle graph: starts flat, then accelerates.

Which story has something starting from rest and then accelerating?

The ball story: “A ball was rolling at constant speed, then stopped suddenly. Someone kicked it and it accelerated.”

But if it was rolling at constant speed, the graph should start with a diagonal line — not flat. Unless… maybe the “stopped suddenly” is the flat part? But the graph starts flat — meaning it was already stopped.

Perhaps the story is describing events in order, but the graph shows the whole motion.

Let’s try matching differently.

Top graph: goes up (constant speed away), then down steep (fast return), then down less steep (slower return?), then flat (stopped).

Jenny’s story: drove at constant speed to store (up diagonal), then turned and returned home a bit faster (so steeper down), but still constant — so straight line down. Then “she returned, stopped, and passed the store” — maybe that means she overshot or something? Not clear.

But in the graph, after the steep down, there’s a less steep down — which would mean slowing down while returning? But Jenny’s story says she returned at constant speed (just faster than before).

Hmm.

Perhaps the top graph matches Jenny if we interpret “returned a bit faster” as the steep part, and then “still constant” might be a mistake, or perhaps the less steep part is her stopping? No.

Another idea: maybe the top graph has four segments:

1. Up diagonal — constant speed away
2. Down steep — fast return
3. Down shallow — slow return? But why?
4. Flat — stopped

Jenny’s story: “condujo a velocidad constante hasta la tienda” — segment 1.

“luego se devió algo y regresó a su casa un poco más rápido” — segment 2 (steep down).

“pero aún así todavía constante” — so still constant speed, so should be straight line — which it is, just less steep? But less steep means slower, not faster.

Contradiction.

Unless “un poco más rápido” refers to compared to something else? Or maybe it's a translation error.

Let’s look at the ball story again.

Ball: “rodaba a velocidad constante” — should be diagonal line.

“luego se detuvo bruscamente” — sudden stop, so vertical drop? But in distance-time, stopping means flat line, not drop. Distance doesn't drop when you stop; it stays constant.

Ah! Important point: in distance-time graphs, when you stop, the line is horizontal (flat), because distance isn't changing.

When you move away, line goes up; when you move toward, line goes down.

So for the ball:

- Rolling at constant speed: diagonal line (say, up).
- Stops suddenly: becomes flat.
- Then kicked and accelerates: curve upward with increasing slope.

But none of the graphs show that sequence.

Middle graph: starts flat (already stopped), then curves up slowly, then curves up fast — so accelerating from rest.

That could be the ball after being kicked — but the story says it was rolling first, then stopped, then kicked.

So the graph should have: diagonal (rolling), then flat (stopped), then curved up (accelerating).

None of the graphs have that exact sequence.

Top graph: up diagonal, down steep, down shallow, flat — not matching.

Bottom graph: zigzag — back and forth.

Perhaps I need to reinterpret.

Let’s list the graphs clearly:

Graph A (top):
- Segment 1: straight line up (constant speed away)
- Segment 2: straight line down steep (constant speed back, fast)
- Segment 3: straight line down shallow (constant speed back, slow)
- Segment 4: flat (stopped)

Graph B (middle):
- Segment 1: flat (stopped)
- Segment 2: curve up with increasing slope (accelerating away)
- Segment 3: curve up with even steeper slope (accelerating faster)

Graph C (bottom):
- Zigzag: up, down, up, down — back and forth at constant speed (since straight lines)

Now stories:

Story 1 (Jenny):
- Drove at constant speed to store → Graph A segment 1
- Then turned and returned home a bit faster → Graph A segment 2 (steeper down)
- But still constant → so should be straight line, which it is
- Then "se regresó, se detuvo y pasó la tienda" — this is problematic. "She returned, stopped, and passed the store." If she passed the store, she must have gone beyond, but in the graph, after returning, she stops — and the distance is zero or low? In Graph A, after the two downs, she ends at distance zero? Let's assume the y-axis is distance from start.

In Graph A, she starts at 0, goes up to max, then down to some point, then down to 0, then flat. So she returns home.

"pasó la tienda" might mean she went past the store on her way back? But in the graph, she goes directly back.

Perhaps it's a mistranslation. Maybe "passed the store" means she went by it, but in context, she's returning home.

And "se detuvo" — stopped, which is the flat part.

So Graph A might match Jenny if we ignore the "passed the store" part or interpret it loosely.

Story 2 (ball):
- Was rolling at constant speed — should be diagonal
- Stopped suddenly — flat
- Kicked and accelerated — curved up

But no graph has diagonal then flat then curved.

Graph B starts flat, then curved — so it's missing the initial rolling.

Unless the "was rolling" is not shown, or perhaps the graph starts after it stopped.

But the story says "rodaba... luego se detuvo" — so the rolling happened before stopping.

So the graph should include the rolling phase.

None do.

Story 3 (Amy):
- Walked back and forth at constant speed — perfect for Graph C, the zigzag.

So Graph C → Amy.

Now between Graph A and B for Jenny and ball.

Graph B: starts flat, then accelerates.

Which story has something starting from rest and accelerating?

The ball story has it accelerating after being kicked, but only after it was rolling and stopped.

Jenny's story has her driving at constant speed first, not from rest.

Unless "condujo" implies she started from rest, but typically in these graphs, we assume the motion described is what's plotted.

Perhaps for the ball, the "rodaba a velocidad constante" is not part of the graph, or maybe it's implied that the graph starts when it's stopped.

But that seems forced.

Another idea: in the ball story, "se detuvo bruscamente" — stopped suddenly — in distance-time graph, stopping suddenly means the line becomes horizontal immediately, which is fine.

But to have been rolling before, there should be a diagonal line before the flat.

Since no graph has that, perhaps Graph B is for the ball, and we assume the graph starts after it stopped.

But that's not satisfactory.

Let's read the ball story again: "Una pelota rodaba a una velocidad constante y luego se detuvo bruscamente. Alguien vino y pateó la pelota y la pelota aceleró su velocidad."

So the sequence is: rolling (constant speed) -> stop (sudden) -> kicked -> accelerate.

In graph terms: diagonal line -> horizontal line -> curved line with increasing slope.

Now, look at Graph B: it has horizontal -> curved up with increasing slope. Missing the initial diagonal.

Graph A has diagonal -> down steep -> down shallow -> horizontal. Not matching.

Graph C is zigzag.

None match perfectly.

Perhaps for the ball, the "aceleró su velocidad" means it sped up, so the curve is correct, and the initial rolling and stop are not shown, or perhaps the graph is only for the acceleration part.

But that seems unlikely.

Another thought: in Graph B, the curve is concave up, which means acceleration, and it starts from flat, so from rest.

The ball was at rest after stopping, then kicked and accelerated — so if the graph starts from when it's at rest, then Graph B matches the ball's motion after being kicked.

Similarly, for Jenny, Graph A matches her trip: out at constant speed, back fast, back slow? But her story says she returned at constant speed (faster than out), so why two different speeds on return?

Unless "un poco más rápido" is compared to something else, or perhaps the "still constant" applies to the return, but the graph shows two different slopes on return, which would mean two different constant speeds.

In Graph A, segment 2 is steep down (fast constant speed back), segment 3 is shallow down (slow constant speed back), then flat.

Jenny's story: "regresó a su casa un poco más rápido, pero aún así todavía constante" — so she returned at a constant speed that is faster than her outbound speed. But it doesn't say she changed speed during return.

So probably not two different speeds on return.

Perhaps the shallow down is her stopping gradually, but the story says "se detuvo" — stopped, which should be abrupt, but in graphs, stopping is usually shown as becoming flat, not sloping.

I think there might be a better match.

Let's consider that in Graph A, the third segment (shallow down) might be her passing the store or something, but it's unclear.

Perhaps "se regresó, se detuvo y pasó la tienda" means she returned, stopped, and then passed the store — but that would require her to move again, but the graph is flat after that.

Not matching.

Let's look at the Spanish again for Jenny: "Jenny condujo a una velocidad constante hasta la tienda. En la cuenta de que se le olvidó algo y se regresó a su casa un poco más rápido, pero aún así todavía constante. Se regresó, se detuvo y pasó la tienda."

"Se regresó" might be a typo or misphrasing. Perhaps "se dirigió" or something.

"Pasó la tienda" — passed the store. If she is returning home, and passes the store, that means she went beyond the store on her way back? But in the graph, she goes from store back to home, so if home is at 0, store is at max distance, then when she returns, she goes from max to 0, so she passes the store only if she goes beyond, but in the graph, she stops at 0.

Unless the store is not at the max distance.

This is confusing.

Perhaps for Jenny, the graph is: up to store (segment 1), then down fast to home (segment 2), but then why segment 3 and 4?

Another idea: "se regresó" might mean she went back again, but that doesn't make sense.

Let's count the segments.

Perhaps "se detuvo y pasó la tienda" means she stopped and then passed the store, but in the graph, after the downs, she is at home, and flat, so not passing anything.

I think I need to consider that the top graph might have a mistake in my interpretation.

Let's describe the top graph again:

- From t=0 to t1: distance increases linearly — constant speed away.
- From t1 to t2: distance decreases linearly with steeper slope — constant speed back, faster than out.
- From t2 to t3: distance decreases linearly with shallower slope — constant speed back, slower.
- From t3 to t4: distance constant — stopped.

For Jenny: she drove to store (segment 1), then returned home faster (segment 2), but then why segment 3? Unless "pero aún así todavía constante" is for segment 2, and segment 3 is something else.

The story says: "se regresó a su casa un poco más rápido, pero aún así todavía constante" — so the return is at constant speed, faster than out. So only one return speed.

Then "Se regresó, se detuvo y pasó la tienda." — this is likely a separate action. "She returned [again?], stopped, and passed the store." But that doesn't make sense.

Perhaps "se regresó" is a typo, and it's "se detuvo" or something.

Maybe "pasó la tienda" means she went by the store on her way, but in the context, it's redundant.

Perhaps for the purpose of this exercise, Graph A matches Jenny, with segment 2 being the fast return, and segment 3 being her slowing down to stop, but the story says she stopped abruptly or something.

Let's look at the ball story with Graph B.

Graph B: starts flat (at rest), then curve up with increasing slope (accelerating).

Ball story: after being kicked, it accelerated from rest — so if the graph starts from when it's kicked, then it matches.

And the initial rolling and stop are not part of the graph, or perhaps the graph is only for the acceleration phase.

Similarly, for Amy, Graph C is perfect.

For Jenny, Graph A: she went out at constant speed (segment 1), returned at constant speed faster (segment 2), but then segment 3 and 4 don't match.

Unless "se detuvo y pasó la tienda" is not literal, or perhaps "pasó la tienda" means she arrived at the store or something.

Another possibility: in some interpretations, "pasó la tienda" might mean she passed by the store on her way back, but in the graph, when she is returning, she is passing the store when distance is decreasing, but that's always true.

I think I found a better way.

Let's read the ball story carefully: "Una pelota rodaba a una velocidad constante y luego se detuvo bruscamente. Alguien vino y pateó la pelota y la pelota aceleró su velocidad."

The key is "aceleró su velocidad" — accelerated its speed, which means the speed increased, so in distance-time graph, the slope increases, which is what Graph B shows: the curve gets steeper, so speed is increasing.

And it starts from flat, so from rest, which matches after it stopped.

So perhaps the graph for the ball is only the part after it was kicked, assuming the initial rolling and stop are not plotted, or the graph starts from when it's at rest.

Similarly, for Jenny, Graph A has her going out, coming back fast, then coming back slow, then stopping. But her story doesn't mention coming back slow.

Unless "un poco más rápido" is compared to the slow part, but that doesn't make sense.

Perhaps the top graph is for the ball, but the ball doesn't go back and forth.

Let's consider that in Graph A, the down parts are both towards home, so she is returning, but at two different speeds.

But Jenny's story doesn't say that.

Perhaps there's a mismatch.

Let's look at the third story: Amy walking back and forth — definitely Graph C.

So Graph C -> Amy.

Now between A and B for Jenny and ball.

Graph B is acceleration from rest — matches the ball after being kicked.

Graph A is constant speed out, constant speed back fast, constant speed back slow, stop.

Jenny's story: constant speed out, constant speed back fast, then stop. No slow back.

So perhaps Graph A is not for Jenny.

Unless the "still constant" is for the return, and the shallow down is her stopping, but in graphs, stopping is flat, not sloping.

In distance-time graphs, if you are moving, the line is sloped; if you stop, it's flat.

So in Graph A, segment 3 is sloped down, so she is still moving, at constant speed, but slower.

So she is moving back at slow constant speed, then stops.

Jenny's story doesn't mention that.

Perhaps for Jenny, "se regresó a su casa un poco más rápido" is segment 2, and "pero aún así todavía constante" is redundant, and "se regresó, se detuvo y pasó la tienda" might mean she returned (segment 2), stopped (segment 4), and "pasó la tienda" is a mistake or means she went by the store during return, which is true for segment 2 and 3.

But why segment 3?

Perhaps "se regresó" means she went back again, but that doesn't make sense.

Another idea: "se regresó" might be "she went back" referring to the return trip, and "se detuvo y pasó la tienda" means she stopped and then passed the store, but if she stopped, how did she pass the store? Unless she moved again, but the graph is flat.

I think I need to accept that Graph A matches Jenny with the understanding that the return has two parts, or perhaps it's a error in the problem.

Let's check online or think differently.

Perhaps "coincidencia" means matching, and we need to pair them.

Let me try to match based on common sense.

Graph C: zigzag — back and forth — Amy's story: "caminaba de un lado a otro" — walking back and forth — perfect match.

Graph B: starts flat, then accelerates — ball story: after being kicked, it accelerated from rest — so if we assume the graph starts from when it's kicked, then match.

Graph A: out at constant speed, back at fast constant speed, back at slow constant speed, stop — Jenny's story: she went to store at constant speed, returned home faster at constant speed, then stopped. But why the slow back? Unless "un poco más rápido" is for the first part of return, and then she slowed down, but the story doesn't say that.

Perhaps "pero aún así todavía constante" means that even though she was faster, it was still constant, and the shallow down is not part of her story, but it is in the graph.

I recall that in some versions of this problem, the top graph is for Jenny, and the "passed the store" is ignored or interpreted as she went by it.

Perhaps "se regresó, se detuvo y pasó la tienda" means she returned (to home), stopped, and then passed the store — but that would require her to leave home again, which is not in the graph.

I think for the sake of this, I'll go with:

- Top graph (A) -> Jenny
- Middle graph (B) -> Ball
- Bottom graph (C) -> Amy

Because:
- C is clearly Amy.
- B is acceleration from rest, which matches the ball after being kicked.
- A is the only one left for Jenny, and it has her going out and back, which matches.

And for Jenny, perhaps the two return speeds are not emphasized, or "un poco más rápido" is for the overall return, and the graph shows it as two segments for some reason.

Perhaps in the graph, the steep down is her returning fast, and the shallow down is her approaching home and slowing down, but the story says she stopped, not slowed down gradually.

But in many educational contexts, they might accept it.

So I'll go with that.

Final matching:

- First graph (top) -> Jenny's story
- Second graph (middle) -> Ball's story
- Third graph (bottom) -> Amy's story

So the answer is:

Top graph matches Jenny.

Middle graph matches the ball.

Bottom graph matches Amy.

To write it as per the task: "Corta y pega el cuento con correcta su gráfico correspondiente." — cut and paste the story with its corresponding graph.

So for the response, I need to state which story goes with which graph.

Since the user didn't specify how to output, but in the context, probably list the matches.

In the final answer, I can say:

The top graph corresponds to Jenny's story.

The middle graph corresponds to the ball's story.

The bottom graph corresponds to Amy's story.

Or to be precise.

Since the stories are in boxes, and graphs on left, perhaps pair them.

But for the answer, I'll state the matches.

So Final Answer:

Top graph: Jenny's story
Middle graph: Ball's story
Bottom graph: Amy's story

But to box it.

Perhaps write it as:

1. Top graph - Jenny
2. Middle graph - Ball
3. Bottom graph - Amy

Yes.

So after all that reasoning, I think that's the intended match.