SOLUTION: You are choosing between two long distance plans. Plan A has a monthly fee of $15.00 with a charge of .08 per minute for all long distance calls. Plan B has a monthly fee of $3.00

Question 668470: You are choosing between two long distance plans. Plan A has a monthly fee of $15.00 with a charge of .08 per minute for all long distance calls. Plan B has a monthly fee of $3.00 with a charge of .12 per minute for all long distance calls.
a. For how many minutes of long distance calls will the costs for the two plans be the same. What will the cost for each plan be?
b. If you make approximately 15 long distance calls per month, each averaging 39 minutes,which plan should you select? Please explain your answer.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You are choosing between two long distance plans.
Plan A has a monthly fee of $15.00 with a charge of .08 per minute for all long distance calls.
Plan B has a monthly fee of $3.00 with a charge of .12 per minute for all long distance calls.
Write a cost equation for each plan
let m = no. of minutes used
:
A: C = .08m + 15
B: C = .12m + 3
;
a. For how many minutes of long distance calls will the costs for the two plans be the same.
The two cost will be equal, so we can write an equation like this:
.12m + 3 = .08m + 15
.12m - .08m = 15 - 12
.04m = 12
m = 12/.04
m = 300 minutes will cost the same
:
What will the cost for each plan be?
replace m with 300 in the 1st equation
C = .08(300) + 15
C = 24 + 15
C = $39
Confirm this in the 2nd equation
C = .12(300) + 3
C = 36 + 3
C = $39 also
:
b. If you make approximately 15 long distance calls per month, each averaging 39 minutes,
which plan should you select? Please explain your answer.
Find how many minutes are 15 calls at 39 min each
15(39) = 585 min
:
Check both plans using 585 min
A:
C = .08(585) + 15
C = 46.80 + 15
C = $61.80
:
B:
C = .12(585) + 3
C = 70.20 + 3
C = $73.20
:
You can draw your own conclusions on this and explain what went on here.
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