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.
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.
Yes, 13.33 is right.
15h > 200
is it 13.33 or 14 hours ?
To find the minimum number of hours the painter must work to earn at least $200, we can set up an inequality.
Let's use the variable 'h' to represent the number of hours the painter works. Since the painter earns $15 per hour, the painter's earnings can be represented by 15h.
According to the problem, the painter wants to earn at least $200. We can express this as:
15h ≥ 200
To solve this inequality, we need to isolate 'h' on one side of the inequality. We can do this by dividing both sides of the inequality by 15:
15h/15 ≥ 200/15
Simplifying, we have:
h ≥ 200/15
Now, we can divide to find the decimal value of 200/15:
h ≥ 13.33
Since the minimum number of hours worked must be a whole number, we round up to the next whole number. Therefore, the minimum number of hours the painter must work to earn at least $200 is 14.