How many minutes would you have to use in a month in order for the second plan to be preferable?

Question

You are choosing between two different cell phone plans. The first plan charges a rate of 23 cents per minute. The second plan charges a monthly fee of $29.95 plus 10 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the nearest whole minute.

Answer 1

For this question, you should make an equation for each phone plan. Let's name the plans "A" and "B".

A= 0.23m <----- m= minutes

B= 29.95 + 0.1m

This question is asking for a value of m that makes B cheaper than A. To find this, you can set A and B equal to each other and solve for m.

0.23m = 29.95 + 0.1m Subtract 0.1m on both sides

0.13m = 29.95 Divide both sides by 0.13

m= 230.38 minutes

Any time greater than 230.38 minutes would make Plan B cheaper than Plan A. Since the question asks for the nearest whole minute, your answer would be 231 minutes.

Answer 2

0.23m = 0.1m + 29.95

0.13m = 29.95

m = 230.38

231 minutes