STEP - BY - STEP EXPLANATION
What to find?
Average rate of change of the given function.
Given:
We solve following the steps below:
Step 1
State the formula.
[tex]Rate\text{ of change=}\frac{f(b)-f(a)}{b-a}[/tex]
Step 2
Pick a point within the given interval and identify its coordinates.
That is;
(0, 71) and (3, 47)
⇒a=0 b=3
f(a) = 71 f(b)=47
Step 3
Substitute the values into the formula and simplify.
[tex]\begin{gathered} Rate\text{ of change=}\frac{47-71}{3-0} \\ \\ =\frac{-24}{3} \\ \\ =-8 \end{gathered}[/tex]
ANSWER
The rate of change = -8
