Question

1. (5 points) at the age of t solaks, the height of a child is given by m(t) (measured in molarks). which of the following calculations gives the average rate of change of the childs height from age 3 solaks to 9 solaks? a. $\frac{m(6)}{6}$ b. $\frac{m(9)-m(3)}{9 - 3}$ c. $\frac{m(9)-m(3)}{9 - 3}$ d. $\frac{m(6)}{6}$ e. $\frac{m(9)-m(3)}{9}$

Explanation:

Step1: Recall average - rate - of - change formula

The average rate of change of a function $y = M(t)$ over the interval $[a,b]$ is given by $\frac{M(b)-M(a)}{b - a}$.

Step2: Identify $a$ and $b$ values

Here, $a = 3$ and $b = 9$.

Step3: Substitute values into the formula

The average rate of change of the function $M(t)$ from $t = 3$ to $t = 9$ is $\frac{M(9)-M(3)}{9 - 3}$.

Answer:

C. $\frac{M(9)-M(3)}{9 - 3}$