Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by
.
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
![3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}](https://img.qammunity.org/2021/formulas/mathematics/high-school/wpqf7z6iuucfi7q7khempqy2oihx62r7db.png)
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.