SOLUTION: a delivery service charges a base price for an overnight delivery of a package plus an extra charge for each pound the package weighs. A customer is billed $22.85 for shipping a 3

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Question 109654: a delivery service charges a base price for an overnight delivery of a package plus an extra charge for each pound the package weighs. A customer is billed $22.85 for shipping a 3-pound package and $40 for shipping a 10-pound package.
a. write an equation that gives the total cost of shipping a package as a function of the weight of the package
b. find the cost of shipping a 15-pound package
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
BASE+3X=22.85
BASE+10X=40
BASE=40-10X NOW SUBSTITUTE (40-10X)FOR BASE IN THE FIRST EQUATION
40-10X+3X=22.85
-7X=22.85-40
-7X=-17.15
X=-17.15/-7
X=$2.45 IS THE PRICE FOR EACH POUND.
BASE+10*2.45=40
BASE+24.50=40
BASE=40-24.50
BASE=15.50 IS THE BASE PRICE FOR THE DELIVERY.
PROOF
15.50+3*2.45=22.85
15.50+7.35=22.85
22.85=22.85