Problema Solution

A basic cell phone plan costs $25 per months for 60 calling minutes. Additional time costs $.90 per minute. Formula C=25+0.90(x-60) gives the monthly cost for this plan, C, for x calling minutes, where x>60. How many calling minutes are possible for a monthly cost of at least $79 and at most $160?

Answer provided by our tutors

First we calculate the number of minutes for a monthly cost of $79:

C = 79 

That is we need to solve the equation:

25+0.90(x-60) = 79

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click here to see the equation solved for x

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x = 120 min

The number of minutes for a monthly cost of $160 is calculated by solving the equation:

25+0.90(x-60) = 160

........

click here to see the equation solved for x

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x = 210 min

The number of possible minutes is in a closed interval from 120 minutes to 210 minutes.