a painter earns $15per hour. what is the minimum number of hours he must work to earn at least $200? write an inequality to represent this situation and slove show your work
Let's denote the number of hours the painter must work as "x".
According to the problem, the painter earns $15 per hour. Therefore, the total amount he earns is given by 15x.
We are also given that the painter wants to earn at least $200. This can be represented by the inequality:
15x ≥ 200
To solve for x, we need to isolate it on one side of the equation. Thus, we divide both sides of the inequality by 15:
x ≥ 200/15
Simplifying the right side:
x ≥ 40/3
The minimum number of hours the painter must work to earn at least $200 is 40/3 or approximately 13.33 hours.
To find the minimum number of hours a painter must work to earn at least $200, we can set up an inequality.
Let's denote the number of hours worked as "h". Since the painter earns $15 per hour, the total amount earned can be calculated as the product of the hourly rate and the number of hours worked, which is 15h.
To represent the situation where the painter earns at least $200, we can write the inequality:
15h ≥ 200
To solve this inequality, we need to isolate the variable "h" by dividing both sides of the inequality by 15:
15h/15 ≥ 200/15
Simplifying this expression gives:
h ≥ 200/15
To further simplify, we can divide 200 by 15:
h ≥ 13.33
Since the number of hours cannot be a fraction or a decimal, we need to round up to the nearest whole number. Therefore, the minimum number of hours the painter must work to earn at least $200 is 14 hours.
To find the minimum number of hours that a painter must work to earn at least $200, we can set up an inequality.
Let's let the number of hours the painter works be represented by "h".
According to the given information, the painter earns $15 per hour. Therefore, the amount of money the painter earns in "h" hours can be represented as 15h.
To represent the situation where the painter earns at least $200, we can set up the following inequality:
15h ≥ 200
To solve this inequality, we need to isolate "h".
Divide both sides of the inequality by 15:
(15h)/15 ≥ 200/15
Simplifying, we get:
h ≥ 40/3
To calculate the minimum number of hours, we need to round up to the nearest whole number because the painter cannot work a fraction of an hour.
Therefore, the minimum number of hours the painter must work to earn at least $200 is 14 hours.