Answered

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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.

Given The Function Defined In The Table Below Find The Average Rate Of Change In Simplest Form Of The Function Over The Interval0x6 class=

Sagot :

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

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