Question

a games room charges a $13 entrance fee, plus $2.35 per hour of play time. Annie Marie has $29.45. how long can she play in the games room? a) Choose a variable and write an inequality for this problem​

Answer 1

Answer:

a) The Inequality representing this problem is $13+2.35x\leq 29.45$.

b) Annie Marie can play maximum of 7 hours.

Step-by-step explanation:

Given:

Entry fee charge of game room = $13

Cost of hourly playtime = $2.35 per hour

Total Money Annie Marie has = $29.45

We need to find number of hours she can play with this amount.

Let number of hours she will play be 'x'.

No we know that Total Money she has should be less than or equal to sum of Entry fee charge of game room and Cost of hourly playtime multiplied by number of hours she can play.

Framing in equation form we get;

$13+2.35x\leq 29.45$

Hence The Inequality representing this problem is $13+2.35x\leq 29.45$.

On Solving this equation we get;

Subtracting both side by 13 we get;

$13+2.35x-13\leq 29.45-13\\\\2.35x\leq 16.45$

Now dividing both side by 2.35 using division property of Inequality we get;

$\frac{2.35x}{2.35}\leq \frac{16.45}{2.35}\\\\x\leq 7 \ hrs.$

Hence Annie Marie can play maximum of 7 hours.