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you want to purchase a calculator for at most $115. You have saved $30 so far. You earn $7.50 per hour at your job. Right and solve an inequality that represents the number of hours H that you need to work.

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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.

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