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)
Let x be the number of hours the painter must work to earn at least $200.
The painter earns $15 per hour, so the total amount he will earn is 15x.
We can write the inequality:
15x >= 200
Next, we will solve the inequality to find the minimum number of hours the painter must work:
Divide both sides of the inequality by 15:
x >= 200/15
Simplify the right side:
x >= 40/3
The minimum number of hours the painter must work to earn at least $200 is approximately 13.33 hours.