Let’s solve each question one by one, based on the graphs and their context.
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Question 1: What is the slope of this line showing us?
Graph: Rain Total (cm) vs. Time (hours)
The line goes from (0,0) to approximately (2,4). So:
> Slope = rise / run = change in y / change in x = (4 cm - 0 cm) / (2 hours - 0 hours) =
4/2 = 2 cm per hour
✔ So,
2 cm of rain will fall every hour →
Answer: C
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Question 2: What is the y-intercept showing us?
Graph: Gallons of Blue (y-axis) vs. Gallons of Yellow (x-axis)
The line starts at (0,0), so the
y-intercept is 0.
This means: When we have 0 gallons of yellow paint, we also have 0 gallons of blue paint — i.e.,
we have used no paint yet.
✔ Answer:
B — We have used no paint
*(Note: A and C talk about starting with paint — but the graph starts at zero, so that’s not correct. D is a ratio point, not an intercept interpretation.)*
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Question 3: True/False: The point (1, 0.5) means mix 0.5 quart of green paint with 1 quart of red paint.
Graph: Amount of Red Paint (y-axis) vs. Amount of Green Paint (x-axis)
So, point (1, 0.5) means:
- x = 1 → 1 quart of
green paint
- y = 0.5 → 0.5 quart of
red paint
The statement says: “mix 0.5 quart of green paint with 1 quart of red paint” — which swaps the values!
✘ That’s
false.
✔ Answer:
A — False
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Question 4: True/False: The point (1, 0.5) means mix 0.5 quart of red paint with 1 quart of green paint.
Same graph: x = green, y = red.
Point (1, 0.5) → 1 quart green, 0.5 quart red → matches the statement.
✔ Answer:
B — True
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✔ Final Answers:
1.
C
2.
B
3.
A
4.
B
Let me know if you’d like explanations for more questions!
Parent Tip: Review the logic above to help your child master the concept of interpreting graphs of functions worksheet.
