Question

The grade of a hill is its steepness represented as a percent. Jin tracks his walking speed up different hills. What does the rate of change, or slope, represent in this situation?

A scatterplot with grade of hill as a percent on the x axis and walking speed in miles per hour on the y axis. About 20 points are plotted in a downward trend along with a line of best fit which begins at the point zero comma 3 point 5 and passes through the point 2 comma 3.



The rate represents an increase in speed for each 1% grade increase.



The rate represents a decrease in speed for each 1% grade decrease.



The rate represents a decrease in speed for each 1% grade increase.



The rate represents no change in speed for each 1% grade decrease.

Answer 1

The slope in Jin's scatterplot of walking speed against hill grade represents a decrease in walking speed for each 1% increase in the grade of the hill.

Step-by-step explanation:

The rate of change, or slope, in Jin's situation represents how his walking speed in miles per hour changes as the grade of the hill increases or decreases. Since the scatterplot with a line of best fit shows a downward trend, this suggests that there is a decrease in walking speed for each 1% increase in the grade of the hill. Therefore, the correct interpretation of the slope in this context is that it represents a decrease in speed for each 1% grade increase, which can be seen as the slope is negative.

Answer 2

the speed decreases for every 1% grade decreases

Step-by-step explanation:

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