Problema Solution
Molly is supposed to call her friend every Thursday night. Sometimes they have a lot to talk about, other times not so much. There are two phone companies she can use: TCC charges $0.10 per minute (no matter how long the call). UFC charges $0.50 for the first minute plus $0.08 for every minute thereafter. How many minutes can Molly talk to be charged the same amount by either phone company?
Answer provided by our tutors
we will assume that the number of calls is 1 and 'x' represents the number of minutes
TCC charges $0.10 per minute
for x minutes TTC will charge: 0.10x
UFC charges $0.50 for the first minute plus $0.08 for every minute thereafter
for x minutes UFC will charge: 0.50 + 0.08(x - 1)
since we want to find x such that the same amount is charged by either company we have:
0.10x = 0.50 + 0.08(x - 1)
by solving we find:
x = 21 min
click here to see the step by step solution of the equation:
for a 21 minute phone call Molly will be charged the same amount by either phone company.