Question

You are choosing between two different cell phone plans. The first plan charges a rate of 25 cents per minute. The second plan charges a monthly fee of $29.95 in addition to 10 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

Answer:You would have to use over 200 minutes in a month in order for the second plan to be preferable.

Step-by-step explanation:

Let x represent the number of minutes that you use in a month.

The first plan charges a rate of 25 cents per minute. It means that the cost of using x minutes in a month with this plan is 0.25x.

The second plan charges a monthly fee of $29.95 in addition to 10 cents per minute. It means that the cost of using x minutes in a month with this plan is

29.95 + 0.1x

For the second plan to be preferable, its cost would be lesser than the first plan. Therefore,

29.95 + 0.1x < 0.25x

29.95 < 0.25x - 0.1x

29.95 < 0.15x

0.15x > 29.95

x > 29.95/0.15

x > 200