Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200? Write an inequality to represent this situation and solve. Show your work.

Answer 1

Let x represent the number of hours the painter must work.

Since the painter earns $15 per hour, the amount he earns is given by 15x.

We want to find the minimum number of hours he must work to earn at least $200, so we can set up the inequality:

15x ≥ 200

To solve for x, we need to isolate it on one side of the inequality.

Divide both sides of the inequality by 15:

15x/15 ≥ 200/15

x ≥ 200/15

Simplifying, we get:

x ≥ 40/3

So, the painter must work at least 40/3 hours, which can be rounded up to 14 hours or approximately 13.33 hours.