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6 April, 21:25

a plumber charges an initial amount to make a house call plus an hourly rate for the time he is working. A 1 hour job cots $90 and a 3 hour job costs $210. What is the initial amount and the hourly rate that the plumber charges.

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  1. 6 April, 21:39
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    Step-by-step explanation:

    (1,90), (3,210)

    slope = (210 - 90) / (3 - 1) = 120/2 = 60

    y = mx + b

    slope (m) = 60

    (1,90) ... x = 1 and y = 90

    solve for b, the y int (or the initial amount)

    90 = 60 (1) + b

    90 = 60 + b

    90 - 60 = b

    30 = b

    y = 60x + 30

    hourly rate = $ 60

    initial amount = $ 30
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