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14 May, 15:55

Option 1: $30 per month and $100 membership fee. Option 2: $25 per month and $150 membership fee.

Michael is trying to determine which tennis club to join. If Michael chooses option 2, for which month will his total cost for option 2 be less than his total cost for option 1? A) month 8 B) month 9 C) month 10 D) month 11

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  1. 14 May, 15:59
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    Let us say that m is the number of months. So that the equations for option 1 (O1) and option 2 (O2) are:

    O1 = 30 m + 100

    O2 = 25 m + 150

    TO determine this, we equate O1 and O2 so that:

    30 m + 100 = 25 m + 150

    5 m = 50

    m = 10

    So at the 10th month, the cost for both options are equal. So we select month 11.

    Answer:

    D) month 11
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