1. 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.

Answer 1

Let x be the minimum number of hours the painter must work to earn at least $200.
The inequality to represent this situation is:
15x ≥ 200.
To solve for x, we divide both sides of the inequality by 15:
x ≥ 200/15.
Simplifying the right side of the inequality gives x ≥ 40/3.
Since we cannot have a fraction of an hour, the minimum number of hours the painter must work to earn at least $200 is 14 hours.