Question

A student earns $7.50 per hour at her part-time job. She wants to earn at least $200.

Enter an inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal.

Enter the least whole number of hours the student needs to work in order to earn at least $200

Answer 1

Total amount of cash the student earns per hour is $7.5, let the time taken to earn $200 be h, thus the inequality representing this will be:
7.5h≤200
thus
h≤80/3
writing in whole numbers we shall have:
h≤27

Answer 2

Answer: 7.50 h ≥200

She needs to work 27 hours to earn at least $200.

Explanation:

Hi, to write the inequality we have to analyze the information given:

• Earnings per hour : $7.50

• Hours : h

• She wants to earn at least $200.

So, she earns $7.50 per hour, the expression that represents the statement is $7.50h.

She wants to earn at least $200, "at least" means more or equal (≥200).

Mathematically speaking:

• $7.50 h ≥200

This is the inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal.

For the second part we simply solve the inequation:

7.50 h ≥200

h ≥200/7.50

h ≥ 26.67

Rounded to the nearest whole number:

h ≥ 27

She needs to work 27 hours to earn at least $200.