Question

The graph below shows the value of Edna’s profits f(t), in dollars, after t monthsWhat is the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month?A. 5.92 dollars per monthB. 3.75 dollars per monthC. Five dollars per monthD. Nine dollars per month

Answer 1

Given the plot, we evaluate the rate of change for Edna's profit from the 12th month to the 18th month, by taking the slope of the curve as shown below

The slope of the curve is evaluated as

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

where x₁ = 12th month

x₂ = 18th month

y₁ = 0

y₂ is estimated to be 35.5 dollars

Thus, we have

`m=\frac{(35.5-0)\text{ dollars}}{(18-12)\text{ month}}=(35.5)/(6)=5.9167`

Thus, the closest approximate average rate of change for Edna's profit is 5.92 dollars per month.

Option A is the correct answer