College Algebra

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?

Answer 1

29.95+.10m< .23m

29.95<.13m

29.95/.13< m

m> 29.95/.13 = 230.384615

m> about 3 hours 50 minutes and 23 seconds makes the 2nd plan less expensive

using more than 230.384615 minutes makes the 2nd plan less expensive

odds are they charge you for a full minute if you use 23 seconds,

so time used > 230 minutes makes the 2nd plan less expensive