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3 November, 12:19

Linear Equation: A printer will produce 80 wedding invitations for $210. The price to produce 120 invitations is $290. The printer uses a linear function to determine the price for producing different amounts of invitations. How much will the printer charge to produce 60 invitations?

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  1. 3 November, 15:33
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    The printer will charge $170 to produce 60 invitations.

    The solution is as follows:

    Since we are using a linear function, we shall use the equation y = mx + b

    (x1, y1) = (80, 210) and (x2, y2) = (120, 290)

    Solving for m:

    m = (y2 - y1) / (x2-x1)

    = 80/40

    = 2

    Moving forward:

    y=2x + b, using x1 & y1 of (80, 210), the equation will be

    210 = 2 (80) + b

    b = 210 - 2 (80)

    b = 50

    y = 2x + 50

    Let x = 60, solving for y

    y = 2 (60) + 50

    y = 120 + 50

    y = 170
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