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.
Let's assume the number of hours the painter must work is represented by "h".
According to the given information, the painter earns $15 per hour. So the earnings for "h" hours would be 15h.
We want to find the minimum number of hours the painter must work to earn at least $200. In other words, we need to solve the inequality:
15h ≥ 200
To solve this inequality, divide both sides by 15:
15h/15 ≥ 200/15
h ≥ 13.33
Therefore, the painter must work at least 14 hours to earn at least $200.
is that right bot?
To find the minimum number of hours the painter must work to earn at least $200, we can set up an inequality.
Let's represent the number of hours the painter must work as "h".
The amount of money the painter earns can be calculated by multiplying the number of hours worked by the hourly rate, which is $15 per hour. Therefore, the amount earned is 15h.
To represent the minimum earning requirement of at least $200, we can set up the inequality:
15h ≥ 200
To solve this inequality for "h", we need to isolate the variable on one side. We can do this by dividing both sides of the inequality by 15:
(15h)/15 ≥ 200/15
Simplifying:
h ≥ 200/15
Now we can divide 200 by 15:
h ≥ 13.3333...
Since we cannot work a fraction of an hour, we round up to the next whole number. Therefore, the minimum number of hours the painter must work is 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 assume the minimum number of hours the painter must work is represented by "x."
The painter earns $15 per hour, so the amount earned by working "x" hours would be 15x.
We can then set up the inequality:
15x ≥ 200
To solve this inequality, we need to isolate the variable "x" on one side of the inequality.
Divide both sides of the inequality by 15:
x ≥ 200/15
Simplifying further, we have:
x ≥ 40/3
Since we cannot have a fraction of an hour, we need to round up to the nearest whole number.
Thus, the minimum number of hours the painter must work to earn at least $200 is 40/3 hours, rounded up to 14 hours.