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.