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15 January, 11:35

Joe has been keeping track of his cellular phone bills for the last two months. The bill for the first mont was $38.00 for 100 minutes of usage. The bill for the second month was $45.50 for 150 minutes of usage. Find a linear equation that gives the total monthly bill based on the minutes of usage

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  1. 15 January, 15:15
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    The problem here is that you need to find what is the monthly fee for the telephone + the fee per minute.

    Data we are looking for:

    x - subscription plan

    y - rate per minute

    1. Finding the monthly fee (x) + rate per minute (y)

    x + 150y = 45.50

    x + 100y = 38.00

    you have to deduct those equatations (x - x = 0, 150y - 100y = 50y, 45.5 - 38 = 7.5)

    - finding rate per minute:

    50y = 7.50

    5y = 0.75

    y = 0.15

    - finding monthly fee

    x + 150 * 0.15 = 45.50

    x = 45.50 - 22.50

    x = 23.00

    Looking at the data above you can see that no matter for how many minutes you use your phone you have to pay 23$. For every minute you spend talking the fee is 0.15$

    That is why (z) the total amount you have to pay consist of 23 (subscription) + 0.15y (15c per minute):

    z = 23 + 0.15y

    Add a comment if sth is not clear
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