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.
6 answers
15h > 200
is it 13.33 or 14 hours ?
Yes, 13.33 is right.
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.
15h > 200 = 13.33.
The amount earned in h hours is 15h. This must be greater than or equal to $200.
So:
15h ≥ 200
To solve, divide both sides by 15. This doesn't affect the direction of the sign because it is a positive number:
h ≥ 200/15
Simplify:
h ≥ 13 1/3
1/3 hour * 60 minutes/hour = 20 minutes
Answer:
At least 13 hours 20 minutes.
So:
15h ≥ 200
To solve, divide both sides by 15. This doesn't affect the direction of the sign because it is a positive number:
h ≥ 200/15
Simplify:
h ≥ 13 1/3
1/3 hour * 60 minutes/hour = 20 minutes
Answer:
At least 13 hours 20 minutes.