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Let's go through the problems on this worksheet step-by-step:

---

### Problem 1: 650 feet in 3 minutes

To find the unit rate (feet per minute), divide the total feet by the number of minutes:

\[
\frac{650 \, \text{feet}}{3 \, \text{minutes}} = 216.67 \, \text{feet per minute}
\]

Rounding to the nearest hundredth (if necessary), we have:

\[
216.67 \, \text{feet per minute}
\]

---

### Problem 2: 24 candy bars for 4 people

To find the unit rate (candy bars per person), divide the total candy bars by the number of people:

\[
\frac{24 \, \text{candy bars}}{4 \, \text{people}} = 6 \, \text{candy bars per person}
\]

No rounding needed here since it's a whole number.

---

### Problem 3: Cat food price per pound

We need to find which cat food costs the least per pound. To do this, divide the price by the weight for each size.

- **40 lbs at $49.00**: 
\[
\frac{49.00}{40} = 1.23 \, \text{dollars per pound}
\]

- **20 lbs at $23.44**:
\[
\frac{23.44}{20} = 1.17 \, \text{dollars per pound}
\]

- **8 lbs at $9.88**:
\[
\frac{9.88}{8} = 1.24 \, \text{dollars per pound}
\]

So, the **20 lb bag** has the lowest cost per pound, at **$1.17 per pound**.

---

### Problem 4: Complete the table to show the equivalent ratios

We are given the first row: **Earnings ($): 18, Time (h): 2**.

To complete the table, note that the ratios must be equivalent. This means the ratios of earnings to time should be constant. Let's calculate the other entries:

- **36 earnings / ? time**: 
  The equivalent ratio is $\frac{18}{2} = \frac{36}{x}$. Solving for $x$, we get:
  \[
  x = \frac{36 \times 2}{18} = 4
  \]
  So the time is **4 hours**.

- **? earnings / 8 time**:
  Using the equivalent ratio $\frac{18}{2} = \frac{y}{8}$, solving for $y$ gives:
  \[
  y = \frac{18 \times 8}{2} = 72
  \]
  So the earnings are **$72**.

The completed table is:

| Earnings ($) | Time (h) |
|--------------|----------|
| 18           | 2        |
| 36           | 4        |
| 72           | 8        |

---

Would you like to go over any specific part of the solution in more detail, or do you have any other questions?

### 5 Related Questions:
1. How do you calculate the unit rate for a different time or quantity?
2. What is the significance of rounding to the nearest hundredth in real-world problems?
3. Why is it important to compare the price per pound when buying items in bulk?
4. How can you tell if two ratios are equivalent?
5. What are other ways to find equivalent ratios using different numbers?

### Tip:
When comparing prices or rates, always convert them to the same unit (e.g., price per pound or feet per minute) to make a fair comparison.

Find each unit rate, round to the nearest hundredth, and show work for the following: 1. 650 feet in 3 minutes. 2. 24 candy bars for 4 people. 3. Cat food price comparison for 40 lbs, 20 lbs, and 8 lbs. 4. Complete the table for equivalent ratios of earnings ($) and time (h).

This worksheet helps Grade 7 students practice calculating unit rates, rounding to the nearest hundredth, comparing prices per pound, and completing equivalent ratio tables. Includes problems like finding feet per minute, candy bars per person, and the best cat food price per pound.

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