Gabe rents a piano for $49 per month. He earns $15 per hour giving piano lessons to students. How ma

Discussion in 'Calculator Requests' started by math_celebrity, Apr 10, 2020.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Gabe rents a piano for $49 per month. He earns $15 per hour giving piano lessons to students. How many hours of lessons per month must he give to earn a profit of $326?

    Build a profit function P(h) where h is the number of hours:
    P(h) = Hourly Rate * Number of Hours (h) - Cost of Piano
    P(h) = 15h - 49

    The problem asks for the number of hours where P(h) = $326
    15h - 49 = 326

    We take this equation and type it in our search engine to solve for h:
    h = 25
     

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