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
Remaining Attempts : 3
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Answer 1

To find the speed of the sloth, which is the distance traveled per minute, you can use the points given in the graph.

From the points provided, we can observe:
- At \(0\) minutes, the distance is \(0\) feet.
- At \(0.5\) minutes, the distance is \(3\) feet.
- At \(1\) minute, the distance is \(6\) feet.
- At \(1.5\) minutes, the distance is \(9\) feet.

Now, we can calculate the speed (distance per time) between the different points to confirm a constant speed:

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

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

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

In each case, the speed of the sloth is consistently \(6\) feet per minute.

Thus, the distance a sloth travels is **6 ft. per minute**.