Answer :

ANSWER:

6

STEP-BY-STEP EXPLANATION:

We must evaluate the function at those points to know the values of f(x), like this:

[tex]\begin{gathered} f(2)=6\cdot2+6=12+6=18 \\ f(8)=6\cdot8+6=48+6=54 \end{gathered}[/tex]

Knowing this, we can calculate the rate of change using the following formula:

[tex]\begin{gathered} r=\frac{f(x_2)-f(x_1)_{}}{x_2-x_1} \\ \text{ replacing} \\ r=\frac{54-18}{8-2}=\frac{36}{6} \\ r=6 \end{gathered}[/tex]

The average Rate of Change is 6

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