Answer :
Michael can play a maximum of 23 games at the arcade without spending over $70.
To find out how many games Michael can play, we need to determine how many $3 games can fit into his $70 budget.
- First, let's set up the inequality to represent his spending limit:
[tex]3x \leq 70[/tex]
Where [tex]x[/tex] represents the number of games Michael can play.
- Next, we solve for [tex]x[/tex] by dividing both sides of the inequality by 3:
[tex]x \leq \frac{70}{3}[/tex]
[tex]x \leq 23.33[/tex] ≈ [tex]23[/tex]