Question

The table below represents a relationship between the time a turtle walks and the distance the turtle travels.
5 120
20 480
30 720
50 1200
​

​

​

​What is the unit rate, in feet per minute, represented in this table?

Answer 1

To find the unit rate in feet per minute, we will determine the distance traveled by the turtle per minute based on the given time and distance relationship.

From the table:
- At 5 minutes, the turtle travels 120 feet.
- At 20 minutes, the turtle travels 480 feet.
- At 30 minutes, the turtle travels 720 feet.
- At 50 minutes, the turtle travels 1200 feet.

To find the unit rate for each pair:

1. For 5 minutes:
\[
\text{Unit rate} = \frac{120 \text{ feet}}{5 \text{ minutes}} = 24 \text{ feet per minute}
\]

2. For 20 minutes:
\[
\text{Unit rate} = \frac{480 \text{ feet}}{20 \text{ minutes}} = 24 \text{ feet per minute}
\]

3. For 30 minutes:
\[
\text{Unit rate} = \frac{720 \text{ feet}}{30 \text{ minutes}} = 24 \text{ feet per minute}
\]

4. For 50 minutes:
\[
\text{Unit rate} = \frac{1200 \text{ feet}}{50 \text{ minutes}} = 24 \text{ feet per minute}
\]

In all cases, the unit rate is consistent.

Therefore, the unit rate is **24 feet per minute**.