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
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where x₁ = 12th month
x₂ = 18th month
y₁ = 0
y₂ is estimated to be 35.5 dollars
Thus, we have
[tex]m=\frac{(35.5-0)\text{ dollars}}{(18-12)\text{ month}}=\frac{35.5}{6}=5.9167[/tex]
Thus, the closest approximate average rate of change for Edna's profit is 5.92 dollars per month.
Option A is the correct answer
