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6 June, 05:49

Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?

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  1. 6 June, 06:32
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    1 pound

    Step-by-step explanation:

    Given the cost function of two domestic courier services.

    y=4x+1 y=3x+2

    We want to determine the weight (x) at which the costs (y) will be the same.

    Since y=4x+1 and y=3x+2, then:

    4x+1=3x+2

    4x-3x=2-1

    x=1 pound

    When the weight of the parcel is 1 pound, the total cost of the parcel will be the same for the two domestic courier.
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