Question

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

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

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Answer:

Nine dollars per month