a painter earns $15per hour. what is the minimum number of hours he must work to earn at least $200? write an inequality to represent this situation and slove show your work

Answer 1

Let's denote the number of hours the painter must work as "x".

According to the problem, the painter earns $15 per hour. Therefore, the total amount he earns is given by 15x.

We are also given that the painter wants to earn at least $200. This can be represented by the inequality:

15x ≥ 200

To solve for x, we need to isolate it on one side of the equation. Thus, we divide both sides of the inequality by 15:

x ≥ 200/15

Simplifying the right side:

x ≥ 40/3

The minimum number of hours the painter must work to earn at least $200 is 40/3 or approximately 13.33 hours.