the graph below shows the value of ednas profits f(t), in dollars, after t months:\nwhat is the closest…

the graph below shows the value of ednas profits f(t), in dollars, after t months:\nwhat is the closest approximate average rate of change for ednas profits from the 3rd month to the 9th month?\n-69.75 dollars per month\n-11.63 dollars per month\nsix dollars per month\nnine dollars per month

the graph below shows the value of ednas profits f(t), in dollars, after t months:\nwhat is the closest approximate average rate of change for ednas profits from the 3rd month to the 9th month?\n-69.75 dollars per month\n-11.63 dollars per month\nsix dollars per month\nnine dollars per month

Answer

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function (y = f(t)) from (t=a) to (t = b) is (\frac{f(b)-f(a)}{b - a}). Here, (a = 3) and (b=9).

Step2: Determine (f(3)) and (f(9)) from the graph

From the graph, when (t = 3), (f(3)=- 8.25); when (t = 9), (f(9)=49.5).

Step3: Substitute values into the formula

[ \begin{align*} \text{Average rate of change}&=\frac{f(9)-f(3)}{9 - 3}\ &=\frac{49.5-(-8.25)}{6}\ &=\frac{49.5 + 8.25}{6}\ &=\frac{57.75}{6}\ &=9.625\approx9 \end{align*} ]

Answer:

Nine dollars per month