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.
I know 15 * 13 is about 200, need help creating the equation
Nevermind, I got it
15 * 13 is 195, which then means 15 * 13.2 or something would get $200.
To create the inequality, let's assume the minimum number of hours the painter must work is 'x.' Since the painter earns $15 per hour, the amount earned can be calculated by multiplying the hourly rate by the number of hours worked. So, the amount earned can be represented as 15x.
The question states that the painter must earn at least $200. Thus, we can create the inequality:
15x ≥ 200
To solve this inequality for 'x,' we need to isolate the variable 'x' on one side of the inequality. Here are the steps:
1. Divide both sides of the inequality by 15 to get a coefficient of 1 for 'x,' which results in:
x ≥ 200/15
2. Simplify the right side of the equation:
x ≥ 40/3
Therefore, the minimum number of hours the painter must work to earn at least $200 is 40/3 hours, which is approximately 13.33 hours.