Question

A student works a part-time job and earns $9.50 per hour. The student plans to spend

some of the earnings to buy a new pair of shoes that costs $72.
Which inequality represents the possible number of hours, h, the student would need to
work to have at least $350 of the earnings remaining after buying the new pair of shoes?

Answer 1

Let h represent the number of hours worked, and e represent the remaining earnings after buying the shoes. The earnings can be calculated as \(9.50h\), and the inequality for the given situation is:

\[9.50h - 72 \geq 350\]

This inequality represents the condition where the student wants to have at least $350 remaining after buying the new pair of shoes.

Answer 2

The possible number of hours the student would need to work to have at least $350 of earnings remaining after buying the new pair of shoes is 44.42 hours or more.

Step-by-step explanation:

To determine the possible number of hours the student would need to work to have at least $350 of earnings remaining after buying the new pair of shoes, we need to set up an inequality. Let's say the number of hours the student works is represented by 'h'. The student earns $9.50 per hour, so the total earnings will be 9.50h. After buying the new pair of shoes that cost $72, the remaining earnings will be 9.50h - 72. The inequality to represent the situation is:

9.50h - 72 >= 350

To solve this inequality, we can add 72 to both sides:

9.50h >= 422

Now, divide both sides by 9.50 to isolate 'h':

h >= 44.42

Therefore, the possible number of hours the student would need to work to have at least $350 of earnings remaining after buying the new pair of shoes is 44.42 hours or more.