Use the image to answer the question.

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 analyze the points on the graph that you provided.

From the points given:

• At $0.5$ minutes, the sloth has traveled $3$ feet.
• At $1$ minute, the sloth has traveled $6$ feet.

To find the speed in feet per minute, we can calculate the difference in distance over the difference in time. The speed can be calculated using the formula:

$$\text{Speed}=\frac{\text{Change in Distance}}{\text{Change in Time}}$$

Using the points $(0.5,3)$ and $(1,6)$:

• Change in distance = $6-3=3$ feet
• Change in time = $1-0.5=0.5$ minutes

Now, substitute these values into the formula:

$$\text{Speed}=\frac{3\text{ feet}}{0.5\text{ minutes}}=6\text{ feet per minute}$$

Therefore, the distance a sloth travels per minute is $6$ feet per minute.