SOLUTION: Two phone companies offer discount rates to students. The first company wants $9.95 per month plus $.10 per minute for long distance calls. The second company wants $12.95 pe

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two phone companies offer discount rates to students. The first company wants $9.95 per month plus $.10 per minute for long distance calls. The second company wants $12.95 pe      Log On


   

Question 947555: Two phone companies offer discount rates to students.
The first company wants $9.95 per month plus $.10 per minute for long distance calls.
The second company wants $12.95 per month plus $.08 per minute for long distance calls.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Two phone companies offer discount rates to students.
The first company wants $9.95 per month plus $.10 per minute for long distance calls.
Write a linear equation describing the total cost, y, for x minutes of long distance calls from 1st Company.
Write a linear equation describing the total cost, y, for x minutes of long distance calls from 2nd Company.

y=0.10x%2B9.95.....1st company
y=0.08x%2B12.95.....2nd company

as you can see the y-intercept of second company is greater then of the first company, but the slope of the first company is greater then the slope of the second company

so, check for few long distance calls:
for x=+10 minutes long distance call
y=%280.10%29%2A10%2B9.95.....1st company
y=1%2B+9.95
y=10.95

y=%280.08%29%2A10%2B12.95.....2nd company
y=0.8%2B12.95
y=13.75

for x=+100 minutes long distance call
y=%280.10%29%2A100%2B9.95.....1st company
y=10%2B9.95
y=19.95

y=%280.08%29100%2B12.95.....2nd company
y=8%2B12.95
y=20.75
in both cases the cost is higher if you use 2nd company; so, 1st company is better choice