The first plan charges a rate of 19 cents per minute. The second plan charges a monthly fee of $29.95 plus 9 cents per minute.

Question

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

2995 + 9m = 19m

10m = 2995

m = 299.5 minutes makes both plans cost the same

2995+ 9(300) = 2995+2700 = $56.95 for Plan B

19(300) = $57.00 for Plan A.

For 300 or more minutes Plan B is preferable

2996+9(299) = $56.86 for Plan B

19(299) = $56.81 for Plan A

for 299 minutes or less Plan A is preferable

Answer 2

m represents the number of minutes

29.92 + 0.09m < 0.19m

Can you solve for m and answer?