Question

select the points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet. (0, 80) (5, 40) (10, 20) (15, 10)

Explanation:

Step1: Recall the formula for average rate of change

The average rate of change of a function \(y = f(x)\) over the interval \([x_1,x_2]\) is given by \(\frac{f(x_2)-f(x_1)}{x_2 - x_1}\). Here, \(x\) represents the horizontal distance and \(y\) represents the height.

Step2: Identify the relevant points

The beginning of the slide corresponds to \(x = 0\) (horizontal distance). From the graph, when \(x = 0\), \(y=80\) (the point \((0,80)\)). When the horizontal distance \(x = 15\) feet, from the options and the graph description (assuming the point - value correspondence), when \(x = 15\), \(y = 10\) (the point \((15,10)\)).

Answer:

\((0,80)\) and \((15,110)\)