A wireless carrier offers the following plans that a person is considering. The

Question

A wireless carrier offers the following plans that a person is considering. The Family Plan: $110 monthly fee, unlimited talk and text on up 5 lines, and data charges of $ 55 for each device for up to 2 GB of data per device. The Mobile Share Plan: $150 monthly fee for up to 10 devices, unlimited talk and text for all the lines, and data charges of $45 for each device up to a shared total of 10 GB of data. Assuming they stay under their data limit, find the number of devices that would make two plans equal in cost. ____ devices.

Explanation / Answer

1. let n be the no. of devices

cost for family plan = cost for mobile share plan

110+ 55n = 150 + 45n

thus 10n = 40 thus n = 4 devices

2. cost for family plan = 100+ 40*3 = 180

cost for mobile share = 140 + 25*3 = 215

so family plan have lowest expense

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