Answer:
[tex]50+5x\le 100[/tex]
[tex]x\le 10[/tex]
You can visit at most 10 swim classes.
Step-by-step explanation:
Let x be the number of swim classes you can attend with.
At your local pool, it costs $50 to join the swim association and $5 for each swim class. then x classes cost $5x and the total cost is $(50 + 5x).
You have budgeted $100 to improve your swimming over the summer. Hence,
[tex]50+5x\le 100[/tex]
Solve this inequality:
[tex]50+5x-50\le 100-50\\ \\5x\le 50\\ \\x\le 10[/tex]
You can visit at most 10 swim classes.