consider the graph of f(x), which represents the total area, in square feet, of a fungus growing in a…

consider the graph of f(x), which represents the total area, in square feet, of a fungus growing in a particular location x days after the initial area of the fungus is recorded. what is the approximate average rate of change of the function from x = 0 to x = 3? 2 square feet per day 3 square feet per day 12 square feet per day 13 square feet per day

consider the graph of f(x), which represents the total area, in square feet, of a fungus growing in a particular location x days after the initial area of the fungus is recorded. what is the approximate average rate of change of the function from x = 0 to x = 3? 2 square feet per day 3 square feet per day 12 square feet per day 13 square feet per day

Answer

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x=a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 0$, $b=3$, $f(0)=5$ and $f(3)=40$.

Step2: Substitute values into formula

$\frac{f(3)-f(0)}{3 - 0}=\frac{40 - 5}{3}$.

Step3: Calculate the result

$\frac{35}{3}\approx12$.

Answer:

12 square feet per day