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4 October, 03:37

carlos pays a monthly fee of $12, and he pays an additional $0.05 per minute. The least he has been charged in a month is $85.15. What are the possible # of minutes he has used his phone in a month? Use M for the number of minutes, and solve your inequality for M.

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  1. 4 October, 06:10
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    The number of possible minutes M is greater than 1462.4.

    Step-by-step explanation:

    The monthly fee of the call charges = $12

    Cost per minute = $0.05

    Least amount bill charged to Carlos = $85.15

    Let us assume the the number of minutes used on the phone = M

    So, the cost of M minutes = m (Cost of 1 minute)

    = M x ($0.05) = 0.05 M

    Total Bill Charges < Fixed Fee + Cost of M minutes

    ⇒$85.15 < $12 + 0.05 M

    or, 85.15 < 12 + 0.05 M

    or, 0.05 M < 85.15 - 12 = 73.12

    ⇒ M < 73.12 / 0.05 = 1462.4

    or M = 1462.4

    Hence, the number of possible minutes M > 1462.4
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