Question

A gamer room charges a $13$ entrance fee, plus 2.35$perhourofplayhourofplaytime.Anne-Mariehas$29.45$ For how long can she play in the games room?
Choose a variable and write an inequality for this problem.

Answer 1

We have,

Entrance fee$=13$

Hourly fee$=2.35$

Let $x$ be the amount of time she plays in hours.

So, hourly fee$=2.35x$

We know that,

Entrance fee + Hourly fee = total amount paid

$13+2.35x=\text{total}\text{amount}\text{paid}$

Since, she only has 29.45, she can’t pay more than that,

So, your final equation is

$13+2.35x\le 29.45$

Solve this equation,

$13+2.35x\le 29.45$

$\Rightarrow 2.35x\le 29.45-13$

$\Rightarrow 2.35x\le 16.45$

$\Rightarrow x\le \frac{16.45}{2.35}$

$\Rightarrow x\le 7\text{hours}\text{.}$

Hence, this is the answer.