Question

This table shows values that represent an exponential function.What is the average rate of change for this function for the interval from x = 2 to x = 42

Answer 1

Step 1

State the expression for the average rate of change(A)

$A=\frac{y_2-y_1}{x_2-x_1}$

Where

$\begin{gathered} y_{2_{}}=21 \\ y_1=9 \\ x_2=4_{} \\ x_1=2 \end{gathered}$

Step 2

Substitute and find the average rate of change.

$\begin{gathered} A=\frac{21-9}{4-2}=\frac{12}{2}=6 \\ A=6 \end{gathered}$

Hence, the average rate of change for this function for the interval x =2 to x= 4 is 6

Option D is right.