Posted by Gemma on Saturday, January 24, 2009 at 11:50am.
A longdistance call using DEC costs 20 cents for the first minute and 16 cents for each additional minute. The same call, placed on LCS, costs 19 cents for the first minute and 18 cents for each additional minute. For what length of phone calls is DEC less expensive?
Here's my inequality and how I solved it:
.16c + .20 < .18c +.19
I subtracted .19 from each side
.16c + .01 < .18c
I subtracted .16c from each side
.01 < .02c
I divided each side by .02.
My final answer does not make sense to me: c > .5. Half a phone call, or half a minute? I think I must have messed up somewhere, so if you see a mistake, please tell me.
Thank you!

Algebra  Reiny, Saturday, January 24, 2009 at 12:10pm
You actually have a rather silly question given to you.
You are dealing with two functions:
Cost(DEC) = 16t + 20 where t is in minutes and Cost is in cents
Cost(LCD) = 18t + 19
let's see where they intersect (are equal)
18t + 19 = 16t + 20
2t = 1
t = 1/2
so at 1/2 minute the cost would be the same, but apparently the cost would be calculated in whole minutes.
so for less than a minute (t=0)
for DEC it would cost 20 cents and for
LCS it would cost 19 cents.
for any vale of t ≥ 1, the cost for DEC would be less than the other agent.
What you did was mathematically correct, you just got yourself confused what your c stood for.
You got c > .5, I got t = .5, you solved an inequation, I solved an equation.
since our solution fell within the fixed cost rate of anything less than 1 minute , we cannot really use that result.
Hope that clears up your problem.
Answer This Question
Related Questions
 algebra  a long distance call costs .50 for the first minute, and then .9 for ...
 math  43. A phone company charges 10 cents per minute for the first 3 minutes ...
 Math  A telephone call costs c cents for the first 3 minutes and 12 cents for ...
 Math  The price of an international call from Detroit to Paris, France, using a...
 Algebra 2  When pedro called Gary, the call cost $1.58. If the rate for the ...
 math  write and evaluate an expression for the total cost of a 17 minute long ...
 Math  Customers of a phone company can choose between two service plans for ...
 MATH  Customers of a phone company can choose between two service plans for ...
 math  Customers of a phone company can choose between two service plans for ...
 math  Customers of a phone company can choose between two service plans for ...
More Related Questions