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15. michelle wants to join a gym to use their basketball courts. she wa…

Question

  1. michelle wants to join a gym to use their basketball courts. she wants to spend no more than $200 at the gym. • the annual membership fee is $135. • members pay $2 to rent the court per game. how many games she can play? type a response

Explanation:

Step1: Define variables and inequality

Let \( x \) be the number of games. The total cost is membership fee plus cost per game, which should be ≤ 200. So, \( 135 + 2x \leq 200 \).

Step2: Solve for \( x \)

Subtract 135 from both sides: \( 2x \leq 200 - 135 \) → \( 2x \leq 65 \).
Divide by 2: \( x \leq \frac{65}{2} = 32.5 \). Since games are whole, \( x = 32 \).

Answer:

Michelle can play 32 games.