The graph below shows the value of Edna's profits f(t), in dollars, after t months:

graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36

What 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 month
(B) 3.75 dollars per month
(C) Five dollars per month
(D) Nine dollars per month

Average rate of change=[tex] \frac{0-(-36)}{18-12}= \frac{36}{6}=6 [/tex]
The closest approximate average rate of change is :A) 5.92 dollars per month.

Answer Link

Lanuel Lanuel · Answer 2 · 2022-05-25T12:17:52+02:00

Based on the calculations, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

How to calculate the closest approximate average rate of change?

In order to calculate the closest approximate average rate of change based on the values contained in the graph, we would use the slope formula as follows:

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope = \frac{0\;-\;(-36)}{18\;-\;12}\\\\Slope = \frac{36}{6}[/tex]

Slope = 6.

Therefore, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

Read more on slope here: brainly.com/question/3493733

#SPJ5