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