Chapter 4, Problem 1PFA

To determine

Tofill:The correct answer providing range of the function.

Answer to Problem 1PFA

The range of the function is $\left\{0,4,8,12,16,20\right\}$ .

Explanation of Solution

Given information:

The number of packs on sale $=10$

Number of packs restricted per customer $x=5$

The cost of pack of gum $C=\$4$

Calculation:

The range of a function is defined as all the possible values of the dependent variable of the function (y) obtained by substituting the independent values of the function (x).

Here, substituting the possible values of the independent variable (number of packs) will give the range (cost of gum)

The values of the independent variables are $x=0,1,2,3,4,5$

The values of the dependent variable comes out to be

  $\begin{array}{l}=4\times x\\ =4\times \left(0,1,2,3,4,5\right)\\ =\left(0,4,8,12,16,20\right)\end{array}$

Therefore the range of the function is $\left\{0,4,8,12,16,20\right\}$ .