A painter earns $15 per hour. What is the minimum number of hours he must work to earn at least $200?

Question

Write an inequality to represent this situation and solve. Show your work

Answer 1

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

The amount of money the painter earns is given by the formula:
Earnings = Rate * Hours

In this case, the painter earns $15 per hour, so the earnings equation can be written as:
$15x ≥ $200

To solve this inequality for x, we divide both sides of the inequality by 15:
x ≥ 200/15

Simplifying the right side:
x ≥ 40/3

Since we cannot have a fraction of an hour, the painter must work at least 14 hours to earn at least $200.