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):
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Calculate the change in distance (y-axis): \[ \Delta y = 6 - 3 = 3 \text{ feet} \]
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Calculate the change in time (x-axis): \[ \Delta x = 1 - 0.5 = 0.5 \text{ minutes} \]
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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.