which is the best estimate of the average rate of change for the function given in the table, over the…

Explanation:

Step1: Recall average - rate - of - change formula

The formula for the average rate of change of a function $y = f(x)$ over the interval $[a,b]$ is $\frac{f(b)-f(a)}{b - a}$. Here, $a = 2$, $b = 4$, $f(2)=3$, and $f(4)=15$.

Step2: Substitute values into the formula

Substitute $a = 2$, $b = 4$, $f(2)=3$, and $f(4)=15$ into $\frac{f(b)-f(a)}{b - a}$. We get $\frac{15 - 3}{4 - 2}$.

Step3: Simplify the expression

$\frac{15 - 3}{4 - 2}=\frac{12}{2}=6$.

Answer:

C. 6