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Jason signed up for a video game rental plan that charges him$25 per month $3 per video game he rents.

He wants to make sure that he doesn't spend more than $50 a month on his bill. Come up with an inequality to represent this scenario and then solve it to determine what the maximum number of games he can rent in a month without going over budget.

User Break
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Final answer:

Jason can rent a maximum of 8 video games per month to stay within his $50 budget. The inequality is set up as 25 + 3G ≤ 50 and solved by isolating the variable G.

Step-by-step explanation:

To determine the maximum number of video games Jason can rent without spending more than $50 a month, we must set up an inequality. The cost equation is based on a flat fee of $25 per month and $3 per video game. So, if we let G represent the number of games Jason rents, the equation will be:

25 + 3G ≤ 50

To solve the inequality:

  1. Subtract 25 from both sides to isolate the variable term:
  2. 3G ≤ 25
  3. Divide both sides by 3 to find the maximum number of games:
  4. G ≤ 8.33

Since Jason cannot rent a fraction of a game, he can rent at most 8 games per month to stay within his budget.

User SAK
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