Chapter 3.5, Problem 29E

To determine

To calculate:the number of times for in-line skates to be used in order to be the purchasing cost less than the renting cost.

Answer to Problem 29E

The in-line skates are to be used more than $5\text{times}$ in order to be the purchasing cost less than the renting cost.

Explanation of Solution

Given information:

Cost of renting the in-line skates is $\$12$ per day and the cost purchasing the in-line skates is $\$60$ .

Calculation:

Let, $x$ be the number of times for in-line skate to be used in order to be the purchasing cost less than the renting cost.

  $\begin{array}{l}\text{12}x\text{ > 60}=\frac{12x}{12}\text{ > }\frac{60}{12}\left[\text{divide each side by 12}\right]\\ \text{12}x\text{ > 60}=x\text{ > }5\left[\text{divide out common factor}\right]\end{array}$

Therefore,

The in-line skates are to be used more than $5\text{times}$ in order to be the purchasing cost less than the renting cost.