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10 August, 14:12

a plumber charges $80 an hour for making house calls to do plumbingwork. He works between 2 to 6 hours a day. What is the domain and range

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  1. 10 August, 15:38
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    The domain is (x : 2 < x < 6}

    The range is {y : 160 < y < 480}

    Step-by-step explanation:

    Assume that y is the total charge for x hours

    ∵ He charges $80 an hour

    ∵ The number of hours is x

    ∴ y = 80 x

    x is the domain and y is the range

    ∵ He works between 2 to 6 hours a day

    - That means x is between 2 and 6

    ∴ 2 < x < 6

    ∵ x represents the domain

    ∴ The domain is {x : 2 < x < 6}

    Lets find the value of y at x = 2 and x = 6 to find the range

    ∵ x = 2

    ∴ y = 80 (2)

    ∴ y = 160

    ∵ x = 6

    ∴ y = 80 (6)

    ∴ y = 480

    - That means y is between 160 and 480

    ∴ 160 < y < 480

    ∵ y represents the range

    ∴ The range is {y : 160 < y < 480}
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