The correct options are options A and D: The points to find the average rate is (0,80) and (15,10).
How to find the average rate of change from the initial point?
If we want to find the average rate of change from the initial point i.e. beginning of the slide to the point where the slide has covered a horizontal distance of 15 feet, then we have to first find out the coordinates of the initial point and the point where the horizontal distance is 15 feet.
Given in the graph x-axis represents the horizontal distance(in feet) and the y-axis represents the height (in feet).
From the figure it is clearly mentioned that the coordinates of the points are (0,80), (5,40), (10,20), (15,10) and (20,5).
Since at the initial point i.e. the beginning of the slide the horizontal distance is 0, the coordinate of the initial point will be (0,80).
The coordinates of the point where the horizontal distance is 15 i.e. x coordinate is 15, will be (15,10).
Therefore to find the slope or average rate of from the initial point i.e. the beginning of the slide to the point where the slide has covered a horizontal distance of 15 feet the required points are (0,80) and (15,10). Therefore the correct options are: options A and D
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