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MaineCellular offers a phone plan that costs $12 per month plus 10 cents per minute. Portland Wireless offers a plan that costs $20 per month plus 5 cents per minute. How many minutes could you use in a month so that it would cost less to use the MaineCellular plan? Be specific in your answer - give the full range of minutes that answers the question.

  • math -

    X = the cost of MaineCellular's plan
    P = the cost of Portland Wireless' plan
    T = time in minutes.

    X = $12 + $0.10 T
    P = $20 + $0.05 T

    P = X at the number of minutes that the two costs cross. So, set X = P

    $12 + $0.10 T = $20 + $0.05 T

    Solve for T.

    Once you have T, anything less than T minutes will give one of the plans an edge. Which one?

    Anything greater than T minutes will give the other plan the edge.

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