Question

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.

Answer 1

Let's call the number of hours the painter must work "x".
According to the problem, the painter earns $15 per hour. So, the amount he earns after working "x" hours is 15x.
The problem states that he must earn at least $200. We can write this as an inequality:
15x ≥ 200.
To solve this inequality, we need to isolate the variable "x". We can do this by dividing both sides of the inequality by 15:
x ≥ 200/15.
Dividing 200 by 15, we get:
x ≥ 13.33.
Since the number of hours must be an integer (since you can't work a fraction of an hour), the minimum number of hours the painter must work is 14 hours.