Short AnswerNote: Your teacher will grade your response to the following question to ensure you receive proper credit for your answers.If you need to show Greater-than or Equal-to, use ">="If you need to show Less-than or Equal-to, use "<="If you need to show Not Equal-to, use "=/"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.(2 points)

Question

Short AnswerNote: Your teacher will grade your response to the following question to ensure you receive proper credit for your answers.If you need to show Greater-than or Equal-to, use ">="If you need to show Less-than or Equal-to, use "<="If you need to show Not Equal-to, use "=/"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.(2 points)

Answer 1

Let x represent the number of hours the painter has to work.

The inequality that represents the situation is:

15x >= 200

To solve for x, we divide both sides of the inequality by 15:

x >= 200/15

x >= 13.33

Since the number of hours must be a whole number, the painter must work at least 14 hours to earn at least $200.