Math

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1. 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.


I THINK:
So you know that he earns $15 per hour so we can write that as 15h, h = # of hours worked
We also know he has to earn AT LEAST $200, so putting all this together we form the inequality(=< means less than or equal to): 15h =< 200
so now we have to solve for h (number of hours worked):
15h =< 200
(divide both sides by 15)
h =< 13 1/3
So, the painter must work a minimum of 13 and 1/3 hours to earn at least $200.

  • Math -

    Correct.

  • Math -

    Didn't you want to make at least $200 ?

    So it should be

    15h ≥ 200
    h ≥ 40/3 , not less than like you had

    However, your conclusion that the painter must work a minimum of 13 and 1/3 hours to earn at least $200, is correct

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