Question

question 14 multiple choice worth 1 points) (08.01 mc) 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 18th month to the 21st month? o three dollars per month o nine dollars per month o 13.75 dollars per month o 41.25 dollars per month

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(t)$ from $t = a$ to $t = b$ is given by $\frac{f(b)-f(a)}{b - a}$. Here, $a = 18$, $b=21$.

Step2: Estimate function values from the graph

From the graph, when $t = 18$, $f(18)\approx0$. When $t = 21$, $f(21)\approx41.25$.

Step3: Calculate the average rate of change

Substitute into the formula: $\frac{f(21)-f(18)}{21 - 18}=\frac{41.25-0}{3}=13.75$.

Answer:

13.75 dollars per month