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
Im not sure =-=
15x > 200
To solve this problem, we need to set up an inequality that represents the situation. Let's call the number of hours the painter works as "h".
We know that the painter earns $15 per hour, so we can multiply the number of hours worked (h) by the pay rate ($15) to find the total earnings. The inequality for the minimum number of hours required to earn at least $200 can be written as:
15h ≥ 200
To solve this inequality and find the minimum number of hours, we need to isolate "h". To do that, we divide both sides of the inequality by 15 to get:
h ≥ 200/15
Simplifying, we find:
h ≥ 40/3
Since the painter cannot work a fraction of an hour, we round up the minimum number of hours, which gives us:
h ≥ 13.333...
So, the painter must work at least 14 hours to earn at least $200.