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.

Question

(1 point)
Responses

15h ≥ 200; h ≥ 13 and one third
15 h ≥ 200; h ≥ Image with alt text: 13 and one third

15h ≤ 200; h ≤ 13 and one third
15 h ≤ 200; h ≤ Image with alt text: 13 and one third

200h ≥ 15; h ≥ three fourtieths
200 h ≥ 15; h ≥ Image with alt text: three fourtieths

200h ≤ 15; h ≤ three fourtieths

Answer 1

The correct inequality to represent this situation is: 15h ≥ 200.

To solve this inequality, divide both sides by 15 to isolate h: h ≥ 200/15.

Simplifying, we get h ≥ 13 and one third.

Therefore, the minimum number of hours the painter must work to earn at least $200 is 13 and one third hours.