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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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User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine the distance a sloth travels per minute, we can compute the slope of the line representing the speed of the sloth using two points on the line.

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

To find the speed, we can use any two points. Let’s use the points (0.5, 3) and (1, 6):

1. Calculate the change in distance (y-axis):
\[
\Delta y = 6 - 3 = 3 \text{ feet}
\]

2. Calculate the change in time (x-axis):
\[
\Delta x = 1 - 0.5 = 0.5 \text{ minutes}
\]

3. The speed is then given by the formula:
\[
\text{Speed} = \frac{\Delta y}{\Delta x} = \frac{3 \text{ feet}}{0.5 \text{ minutes}} = 6 \text{ feet per minute}
\]

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