Question

Melinda is selling her paintings. The graph depicits the profit she makes given the selling price of the paintings. What is the approximate average rate of change in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yield the maximum profit

Answer 1

The average rate of change is 28.57

Explanation:

Given

See attachment for graph

Required

The average rate of change from 0 to maximum profit

At 0, we have:

`(x_1,y_1) = (32,0)`

At maximum, we have:

`(x_2,y_2) = (60,800)\\\\`

The average rate of change (m) is calculatd as:

`m = (y_2 - y_1)/(x_2 - x_1)`

So, we have:

`m = (800 - 0)/(60 - 32)`

`m = (800)/(28)`

`m = 28.57` --- approximated