Chapter 3.4, Problem 6STP

For Exercises $1-6,$ choose the correct letter.

Admission to the fair costs $ 7.75. Each ride costs you $ .50. You have $ 15 to spend at the fair including admission. Which inequality represents the possible numbers of rides you can ride?

F. $r>14$

G. r $<14$

H. $r\le 14$

I. $r\le 15$

To determine

To find: the inequality that represents the possible number of rides .

F.$r>14$ G. $r<14$ H. $r\le 14$ I. $r\le 15$

Answer to Problem 6STP

H. $r\le 14$

Explanation of Solution

Given information: Admission to the fair costs $7.75. Each ride costs $.50. We have $15 to spend at the fair including admission.

Calculation:

Let r be the number of rides that we van ride.

Cost of each ride=$0.50

Therefore, cost of r rides=$ 0. 50r

Admission to the fair costs $7.75.

Therefore, total money spend at the fair =$ (0. 50r+ 7.75)

But, $15 is to be spent at the fair including admission. Therefore,

  $\begin{array}{l}0.50r+7.75\le 15\\ 0.50r\le 15-7.75\\ 0.50r\le 7.25\\ r\le \frac{7.25}{0.50}\\ r\le 14.5\end{array}$

That is , maximum number of rides must be 14.

Therefore, the inequality that represents the possible number of rides is

  $r\le 14$