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.

1 answer

In this scenario, the scatterplot shows a downward trend, indicating that as the grade of the hill (the x-axis) increases (becomes steeper), Jin's walking speed (the y-axis) decreases. Therefore, the correct interpretation of the slope (rate of change) in this case is:

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

This means that for every 1% increase in the grade of the hill, Jin's walking speed decreases.