Question

You are choosing between two different cell phone plans. The first plan charges a rate of 20 cents per minute. The second plan charges a monthly fee of $39.95 plus 9 cents per minute.
-How many minutes would you have to use in a month in order for the second plan to be preferable?

Answer 1

The subscriber needs to use 363 minutes in a month in order for the second plan to be preferable

What should be sign between the equations for the second option to be better?

The sign between the equation of the first cell phone plan and the second phone plan must less  than for the second option to yield more value

Let x be number of minutes of call

Total cost of first option=0.20x

Total cost of second option=39.95+0.09x

For the second option to be better, its value must be less than that of first option

39.95+0.09x<0.20x

39.95<0.20x-0.09x

39.95<0.11x

39.95/0.11<x

x>363

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