Question

Use the image to answer the question.

A graph with an x-axis representing time in minutes ranges from 0 to 4.5 in increments of 0.5. The y-axis representing distance in feet ranges from 0 to 9 in unit increments. A line is labeled speed of a sloth. The line passes through the following points: left parenthesis 0 comma 0 right parenthesis; left parenthesis 0.5 comma 3 right parenthesis; left parenthesis 1 comma 6 right parenthesis; and left parenthesis 1.5 comma 9 right parenthesis.

Identify the distance a sloth travels per minute.

(1 point)
ft. per minute

Answer 1

To determine the distance a sloth travels per minute, we can look at the data points provided for the speed of the sloth on the graph.

The points given are:
- (0, 0)
- (0.5, 3)
- (1, 6)
- (1.5, 9)

We can calculate the average speed (distance per minute) between each set of points:

1. From (0, 0) to (0.5, 3):
\[
\text{Distance} = 3 \text{ ft} - 0 \text{ ft} = 3 \text{ ft}
\]
\[
\text{Time} = 0.5 \text{ min} - 0 \text{ min} = 0.5 \text{ min}
\]
\[
\text{Speed} = \frac{3 \text{ ft}}{0.5 \text{ min}} = 6 \text{ ft/min}
\]

2. From (0.5, 3) to (1, 6):
\[
\text{Distance} = 6 \text{ ft} - 3 \text{ ft} = 3 \text{ ft}
\]
\[
\text{Time} = 1 \text{ min} - 0.5 \text{ min} = 0.5 \text{ min}
\]
\[
\text{Speed} = \frac{3 \text{ ft}}{0.5 \text{ min}} = 6 \text{ ft/min}
\]

3. From (1, 6) to (1.5, 9):
\[
\text{Distance} = 9 \text{ ft} - 6 \text{ ft} = 3 \text{ ft}
\]
\[
\text{Time} = 1.5 \text{ min} - 1 \text{ min} = 0.5 \text{ min}
\]
\[
\text{Speed} = \frac{3 \text{ ft}}{0.5 \text{ min}} = 6 \text{ ft/min}
\]

In all intervals, the speed is consistently 6 feet per minute.

Therefore, the distance a sloth travels per minute is \( \boxed{6} \) ft. per minute.