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26 January, 09:45

The cost, c, of a health club membership is related linearly to its length in months, m. If a 12-month membership costs $260 and an 18-month membership costs $380, which equation can be used to find the cost of a 30-month membership?

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  1. 26 January, 11:52
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    (12,260) (18,380)

    slope = (380 - 260) / (18 - 12) = 120/6 = 20

    y = mx + b

    slope (m) = 20

    (12,260) ... x = 12 and y = 260

    now we sub and find b, the y int

    260 = 20 (12) + b

    260 = 240 + b

    260 - 240 = b

    20 = b

    ur equation for the line is y = 20x + 20

    the cost of a 30 month membership ...

    y = 20 (30) + 20

    y = 600 + 20

    y = 620

    so basically, ur equation (with ur variables) is:

    c = 20m + 20 ... and for 30 months, sub in 30 for m

    c = 20 (30) + 20
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