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Unit Rates worksheet for calculating and comparing unit rates across different scenarios.

A worksheet titled "Unit Rates" with tables for calculating unit rates in various contexts such as words per minute, books per box, tickets per hour, miles per hour, dollars per hour, and minutes per episode.

A worksheet titled "Unit Rates" with tables for calculating unit rates in various contexts such as words per minute, books per box, tickets per hour, miles per hour, dollars per hour, and minutes per episode.

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Show Answer Key & Explanations Step-by-step solution for: Unit Rate Tables worksheet
Let’s go step by step to fill in each table using the unit rate given.

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1. Words per minute — Unit Rate: 6 words per minute

We multiply minutes × 6 to get words.

- Minutes = 2 → Words = 2 × 6 = 12
- Minutes = 4 → Words = 4 × 6 = 24
- Minutes = 10 → Words = 10 × 6 = 60

Table filled:
Words: 12, 24, 60
Minutes: 2, 4, 10

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2. Books per box — Unit Rate: ? books per box (we need to find it first)

Look at the row: Boxes = 3, Books = 9 → So unit rate = 9 ÷ 3 = 3 books per box

Now use that to fill rest:

- Boxes = 5 → Books = 5 × 3 = 15
- Boxes = 12 → Books = 12 × 3 = 36
- Books = 30 → Boxes = 30 ÷ 3 = 10
- Books = 78 → Boxes = 78 ÷ 3 = 26

Table filled:
Books: 30, 15, 36, 78
Boxes: 10, 5, 12, 26
Unit Rate: 3 books per box

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3. Tickets — Unit Rate: $2.50 per ticket

Multiply tickets × 2.50 to get price.

- Tickets = 10 → Price = 10 × 2.50 = $25.00
- Tickets = 12 → Price = 12 × 2.50 = $30.00
- Tickets = 15 → Price = 15 × 2.50 = $37.50
- Tickets = 22 → Price = 22 × 2.50 = $55.00

Table filled:
Tickets: 10, 12, 15, 22
Price: $25.00, $30.00, $37.50, $55.00

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4. Miles per hour — Unit Rate: ? miles per hour (find from known values)

Given: Miles = 150, Hours = 2 → Unit rate = 150 ÷ 2 = 75 miles per hour

Check with another pair: Miles = 450, Hours = 6 → 450 ÷ 6 = 75

Now fill missing:

- Hours = 7 → Miles = 7 × 75 = 525
- Miles = 900 → Hours = 900 ÷ 75 = 12

Table filled:
Miles: 150, 525, 450, 900
Hours: 2, 7, 6, 12
Unit Rate: 75 miles per hour

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5. Dollars per hour — Unit Rate: ? dollars per hour

Given: Dollars = $85, Hours = 2 → Unit rate = 85 ÷ 2 = $42.50 per hour

Check: Hours = 3 → Dollars = 3 × 42.50 = $127.50
Hours = 8 → 8 × 42.50 = $340.00
Dollars = $2 → Hours = 2 ÷ 42.50 ≈ 0.047… but wait — let’s check if we have a better way.

Wait — look at last column: Hours = 10 → Dollars = ?

Actually, let’s recheck: The table says:

Dollars: $85, ?, ?, $2, ?
Hours: 2, 3, 8, 10, ?

But we know unit rate is $42.50/hour.

So:

- Hours = 3 → Dollars = 3 × 42.50 = $127.50
- Hours = 8 → Dollars = 8 × 42.50 = $340.00
- Dollars = $2 → Hours = 2 ÷ 42.50 = ≈ 0.047 hours — but that seems odd for a worksheet. Maybe typo? Or perhaps they meant something else?

Wait — maybe I misread. Let me check again.

The table says:

Dollars: $85 | ___ | ___ | $2 | ___
Hours: 2 | 3 | 8 | 10 | ___

If unit rate is $42.50/hour, then:

At 10 hours → Dollars = 10 × 42.50 = $425.00

And for $2 → Hours = 2 / 42.50 = 0.047... which is not nice. But maybe it's correct? Or perhaps the $2 is a mistake? Wait — no, let’s see if there’s another pattern.

Alternatively, maybe the unit rate is based on first entry only: $85 for 2 hours → $42.50/hr. That must be it.

So even if $2 looks weird, we’ll go with math.

But wait — maybe the $2 is actually for 10 hours? No, the table shows:

Column 4: Dollars = $2, Hours = 10 → That would mean unit rate = 2/10 = $0.20/hr — contradicts first column.

This suggests an error in my assumption.

Wait — let’s read the table again carefully.

It says:

Dollars: $85 | ___ | ___ | $2 | ___
Hours: 2 | 3 | 8 | 10 | ___

Perhaps the $2 is not paired with 10 hours? No — the columns are aligned.

Maybe it’s a trick? Or maybe I should calculate unit rate differently.

Another idea: Perhaps the unit rate is constant, so from first pair: 85/2 = 42.5

Then for 10 hours: 10 * 42.5 = 425 → so dollars should be $425, not $2.

But the table has $2 under dollars and 10 under hours in same column? That can’t be right unless it’s a different rate.

Wait — looking back at original image description — user said “Unit Rate: _______ per hour” — so we’re supposed to find it from data.

But if one column says $2 for 10 hours, that’s $0.20/hr, while first is $42.50/hr — inconsistency.

Unless... perhaps the $2 is a typo? Or maybe it’s 200? But we have to work with what’s given.

Wait — let’s check the last part: "Minutes" section has "Unit Rate: 26 minutes per episode" — so maybe here too, we use first pair to define unit rate.

I think the intended approach is: Use the first complete pair to find unit rate, then apply to others.

So for Dollars/Hour: First pair: $85 for 2 hours → $42.50 per hour.

Then:

- 3 hours → 3 × 42.50 = $127.50
- 8 hours → 8 × 42.50 = $340.00
- 10 hours → 10 × 42.50 = $425.00 → so the "$2" must be a mistake? Or perhaps it's for a different row?

Wait — looking at the structure:

The table is:

Dollars: $85 | ___ | ___ | $2 | ___
Hours: 2 | 3 | 8 | 10 | ___

Perhaps the $2 is not for 10 hours? But visually it's in the same column.

Maybe it's 200? Or 20? But we have to assume it's as written.

Another possibility: Maybe the unit rate is not from first pair, but we need to find a consistent rate.

Let’s suppose all pairs should give same unit rate.

From col1: 85/2 = 42.5

Col4: 2/10 = 0.2 — not same.

That doesn't work.

Unless the $2 is for a different number of hours? But the table shows it under 10 hours.

Perhaps it's a misprint, and it's supposed to be $200 or something.

But since this is a student worksheet, likely the $2 is a typo, and it should be consistent.

Wait — let's look at the last column: Hours = ? , Dollars = ? — blank.

Perhaps the $2 is for the last column? But no, it's listed under fourth column.

I think there might be an error in the problem, but for educational purpose, we'll proceed with unit rate = $42.50 per hour from first pair, and ignore the $2 for now, or assume it's a mistake.

But let's double-check with other sections — in "Minutes" section, it gives unit rate directly: 26 min per episode.

Similarly, for tickets, it gave $2.50 per ticket.

For books, we calculated 3 books per box.

For miles, we calculated 75 mph.

For words, 6 wpm.

So for dollars, likely we use first pair: $85 for 2 hours → $42.50 per hour.

Then:

- 3 hours: 3 * 42.50 = $127.50
- 8 hours: 8 * 42.50 = $340.00
- 10 hours: 10 * 42.50 = $425.00 — so the "$2" must be incorrect; perhaps it's $425? Or maybe it's 200? But we'll put $425 for 10 hours.

And for the last column, if dollars is blank and hours is blank, but we have no info, so perhaps leave blank? But the table has five columns.

Looking back: In the user's description, it says:

"Dollars $85 _ _ $2 _
Hours 2 3 8 10 _"

So fifth column is empty for both.

Perhaps the $2 is for the fourth column, and we have to accept it, but then unit rate isn't constant.

That doesn't make sense for a unit rate table.

Another idea: Perhaps the $2 is a red herring, or it's for a different context.

I recall that in some worksheets, they might have a value that is not to be used for calculation, but that seems unlikely.

Let's calculate what unit rate would make $2 for 10 hours: 2/10 = 0.2, but then first pair 85/2=42.5 — not matching.

Perhaps the $2 is for 0.047 hours, but that's impractical.

I think there might be a typo in the problem, and it's likely that the $2 should be $425 or something.

To resolve this, let's assume that the unit rate is $42.50 per hour, and the $2 is a mistake, and for 10 hours, it should be $425.

Then for the last column, since no values are given, perhaps it's not needed, or we can leave it blank.

But the table has five entries, so probably we need to fill all.

Perhaps the $2 is for the last column? But it's placed under fourth.

I think for the sake of completing the task, I'll use unit rate = $42.50 per hour, and fill accordingly, and for the fourth column, if hours=10, dollars=425, so ignore the $2 or consider it a typo.

Maybe the $2 is 200? 200/10=20, still not 42.5.

Or 425/10=42.5, so likely it's $425.

I'll proceed with that.

So:

- Hours=3 → Dollars=127.50
- Hours=8 → Dollars=340.00
- Hours=10 → Dollars=425.00 (so the "$2" is probably a typo and should be $425)
- Last column: no values given, so perhaps not applicable, or we can skip.

But the table has five columns, so maybe the last is extra.

In the user's text, it's shown as five columns, but for dollars, only first and fourth have values, others blank.

Perhaps for the last column, we can leave blank, or calculate if possible.

Since no information, I'll assume we only fill where possible.

But to be thorough, let's see if there's another way.

Another thought: Perhaps the unit rate is to be found from the data, and it's not constant, but that defeats the purpose of "unit rate".

I think it's safe to use $42.50 per hour.

So for the table:

Dollars: $85, $127.50, $340.00, $425.00, ?
Hours: 2, 3, 8, 10, ?

For the last column, since no values, perhaps it's not required, or we can put a dash.

But in the context, maybe the $2 is for a different interpretation.

Let's look at the "Minutes" section for clue.

In "Minutes", it says: Unit Rate: 26 minutes per episode

Table: Minutes: _, _, _, 520
Episodes: 5, _, _, _

So for episodes=5, minutes=5*26=130

For minutes=520, episodes=520/26=20

So similarly, for dollars, we should use the unit rate from first pair.

I think we have to go with $42.50 per hour.

So for the fourth column, if hours=10, dollars=425, so the "$2" is likely a typo, and we'll use 425.

For the last column, since no values, perhaps it's optional, or we can leave blank.

But to complete, let's assume the last column is for another value, but none given, so skip.

Perhaps the $2 is for the last column? But it's listed under fourth.

I'll proceed with filling as per calculation.

So:

Dollars: $85, $127.50, $340.00, $425.00, [blank]
Hours: 2, 3, 8, 10, [blank]

Unit Rate: $42.50 per hour

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6. Minutes per episode — Unit Rate: 26 minutes per episode

Multiply episodes × 26 to get minutes.

- Episodes = 5 → Minutes = 5 × 26 = 130
- Minutes = 520 → Episodes = 520 ÷ 26 = 20

Other columns are blank, so we fill only where possible.

Table has four columns:

Minutes: _, _, _, 520
Episodes: 5, _, _, _

So:

- Col1: Episodes=5 → Minutes=130
- Col4: Minutes=520 → Episodes=20

Cols 2 and 3 are blank, so no values to fill.

Table filled:
Minutes: 130, _, _, 520
Episodes: 5, _, _, 20

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Now, compiling all answers:

Words per minute:
- Words: 12, 24, 60
- Minutes: 2, 4, 10
- Unit Rate: 6 words per minute (given)

Books per box:
- Books: 30, 15, 36, 78
- Boxes: 10, 5, 12, 26
- Unit Rate: 3 books per box

Tickets:
- Tickets: 10, 12, 15, 22
- Price: $25.00, $30.00, $37.50, $55.00
- Unit Rate: $2.50 per ticket (given)

Miles per hour:
- Miles: 150, 525, 450, 900
- Hours: 2, 7, 6, 12
- Unit Rate: 75 miles per hour

Dollars per hour:
- Dollars: $85, $127.50, $340.00, $425.00, [assume blank or not filled]
- Hours: 2, 3, 8, 10, [blank]
- Unit Rate: $42.50 per hour

(Note: The "$2" in the table is likely a typo and should be $425 for 10 hours.)

Minutes per episode:
- Minutes: 130, _, _, 520
- Episodes: 5, _, _, 20
- Unit Rate: 26 minutes per episode (given)

Final Answer will list all filled values as per tables.

Since the question is to complete the tables, I'll provide the completed tables in order.

But for final answer, perhaps list the unit rates and filled values.

Since the user didn't specify how to present, I'll summarize the key fills.

But to match the format, I'll provide the answers for each section.

Final Answer:

For Words: Words are 12, 24, 60 for minutes 2,4,10.

For Books: Unit rate is 3 books per box; books are 30,15,36,78 for boxes 10,5,12,26.

For Tickets: Prices are $25.00, $30.00, $37.50, $55.00 for tickets 10,12,15,22.

For Miles: Unit rate is 75 miles per hour; miles are 150,525,450,900 for hours 2,7,6,12.

For Dollars: Unit rate is $42.50 per hour; dollars are $85, $127.50, $340.00, $425.00 for hours 2,3,8,10. (Note: The "$2" in the table is corrected to $425 for consistency.)

For Minutes: Minutes are 130 for 5 episodes, and 520 minutes for 20 episodes.

Now, for the boxed final answer, since it's multiple parts, I'll list them clearly.

Perhaps the expected output is the unit rates and the filled numbers.

But to keep it simple, I'll state the unit rates and the missing values.

Since the instruction is to provide final answer after reasoning, I'll box the key results.

But for clarity, I'll write:

Final Answer:

- Words table: Words = 12, 24, 60
- Books table: Unit Rate = 3 books/box; Books = 30, 15, 36, 78; Boxes = 10, 5, 12, 26
- Tickets table: Prices = $25.00, $30.00, $37.50, $55.00
- Miles table: Unit Rate = 75 miles/hour; Miles = 150, 525, 450, 900; Hours = 2, 7, 6, 12
- Dollars table: Unit Rate = $42.50/hour; Dollars = $85, $127.50, $340.00, $425.00; Hours = 2, 3, 8, 10
- Minutes table: Minutes = 130 for 5 episodes; Episodes = 20 for 520 minutes

Note: In the dollars table, the value "$2" for 10 hours is inconsistent with the unit rate derived from the first pair ($85 for 2 hours), so it is assumed to be a typo and corrected to $425 for 10 hours.

For the minutes table, only the first and last columns are filled as per given data.

This completes all tables.
Parent Tip: Review the logic above to help your child master the concept of unit rate and ratio worksheet.
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