Final answer:
To purchase a calculator with a maximum price of $115, given a savings of $30 and a wage of $7.50 per hour, you would need to work at most approximately 11.33 hours. You can set up the inequality 30 + 7.50H ≤ 115 to find this.
Step-by-step explanation:
To determine the number of hours H you need to work to purchase a calculator costing at most $115, we can set up the following inequality:
30 + 7.50H ≤ 115
Here's how to solve it:
Start with the inequality 30 + 7.50H ≤ 115.
Subtract 30 from both sides to get 7.50H ≤ 85.
Divide both sides by 7.50 to isolate H, which gives H ≤ 85/7.50.
Calculate the division to find H ≤ 11.33.
This means you need to work at most approximately 11.33 hours to buy the calculator, considering you have already saved $30.