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23 May, 11:42

You want to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, you can pay $20 per month, plus a $60 signing fee. With the second membership plan, you can pay $40 per month plus no signing fee. At what number of months will both plans cost the same amount?

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  1. 23 May, 11:51
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    after 3 months, both plans cost the same amount

    Step-by-step explanation:

    Let x is the number of months Let y is the total cost

    Given the following information:

    Plan 1: pay $20 per month, plus a $60 signing fee

    => the equation for this plan is:

    y1 = 20x+60

    Plan 2: pay $40 per month plus no signing fee

    => the equation for this plan is:

    y2 = 40x

    To find number of months will both plans cost the same amount, we need to set the equation of plan 1 = equation of plan 2

    y1 = y2

    20x+60 = 40x

    20x = 60

    x = 3

    So after 3 months, both plans cost the same amount
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