Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval0≤x≤6.

Answer 1

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.

`Rate\text{ of change=}(f(b)-f(a))/(b-a)`

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.

`\begin{gathered} Rate\text{ of change=}(47-71)/(3-0) \\ \\ =(-24)/(3) \\ \\ =-8 \end{gathered}`

ANSWER

The rate of change = -8