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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.
(2 points)

1 answer

Let x be the number of hours the painter must work.

The amount the painter earns in x hours is given by the equation 15x.

To find the minimum number of hours he must work to earn at least $200, we set up the inequality:
15x >= 200

Now we solve for x:
Divide both sides of the inequality by 15:
x >= 200/15

x >= 13.33

Since the number of hours must be a whole number, the painter must work at least 14 hours to earn at least $200.