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Each game at a carnival costs $0.50, or you can pay $15 and play unlimited amount of games. Write and solve an inequality to find how many times you should play at a game so that the unlimited game play is less than paying each time.

Interpret the solution.

Plz help!!!!!!!! Thx

Respuesta :

altavistard

Answer:

Play at least 30 times

Step-by-step explanation:

The answer to this question is found by equating the "flat rate" $15 to the direct proportion function g(x) = ($0.50/game)x.  Here x represents the number of games played.

So, we solve the equation

$15 = ($0.50/game)x for x.  Dividing both sides by $0.50/game, we get:

  $15

--------------------- = 30 games

($0.50/game)

After 30 games have been played, the unlimited game plan is cheaper than paying for each game one at a time.

  If we play games more than 30 games, amount paid for unlimited games will be less than paying each time.

   Let the number of games played at the rate of $0.50 per game = x

  • Cost of playing x games = $0.50x
  • Cost of playing unlimited games = $15

"If the cost of playing unlimited games is less than the paying each time",

Inequality for this situation will be,

15 < 0.50x

[tex]\frac{15}{0.5}<\frac{0.5x}{0.5}[/tex]

30 < x

This interprets that "if we play games more than 30 games, amount paid for unlimited games will be less than paying each time".

Learn more,

https://brainly.com/question/20085191

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