Question

Laura is trying to save money for a new pair of crossfit shoes. The shoes cost $250. Laura gets a summer job that pays $7 per hour. Laura has to pay 30% of her earnings toward taxes. She also owes her brother $50. Which of the following represents an inequality showing how many hours she needs to work to be able to afford the shoes?

A) 7h - 0.3(7h) ≥ 250 - 50
B) 7h + 0.3(7h) ≥ 250 + 50
C) 7h - 0.3(7h) ≤ 250 - 50
D) 7h + 0.3(7h) ≤ 250 + 50

Answer 1

The correct inequality that represents how many hours Laura needs to work to afford the shoes is A) 7h - 0.3(7h) ≥ 250 - 50.

Step-by-step explanation:

The correct inequality that represents how many hours Laura needs to work to afford the shoes is A) 7h - 0.3(7h) ≥ 250 - 50.

Let's break down the answer choices to determine the correct one:

• Choice A: 7h - 0.3(7h) ≥ 250 - 50
• Choice B: 7h + 0.3(7h) ≥ 250 + 50
• Choice C: 7h - 0.3(7h) ≤ 250 - 50
• Choice D: 7h + 0.3(7h) ≤ 250 + 50

To find the correct inequality, we need to consider Laura's earnings and expenses. Laura earns $7 per hour and has to pay 30% of her earnings toward taxes. She also owes her brother $50. Therefore, her net earnings after taxes and paying her brother would be 0.7(7h) - 50.

Since Laura wants to be able to afford the shoes, her net earnings after taxes and paying her brother should be greater than or equal to $250. Therefore, the correct inequality is 7h - 0.3(7h) ≥ 250 - 50.