Question

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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.

Answer 1

Let "h" represent the number of hours the painter must work.

The amount the painter earns is given by the equation: $15/hour × h(hours) = $15h

We want to find the minimum number of hours the painter must work to earn at least $200, which can be represented by the inequality:

$15h ≥ $200

To isolate the variable "h", divide both sides of the inequality by $15:

h ≥ $200 / $15

Simplifying further:

h ≥ 13.333...

Since the painter cannot work a fraction of an hour, we round up to the next whole number, which is 14.

Therefore, the minimum number of hours the painter must work to earn at least $200 is 14 hours.