Problema Solution
United Express, a nationwide package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed $29 for shipping a 5-pound package and $59 for shipping a 20-pound package. Find the base price and the surcharge for each additional pound.
Answer provided by our tutors
let
b = the base price for overnight delivery
s = the surcharge
a customer is billed $29 for shipping a 5-pound package
b + 4s = 29
$59 for shipping a 20-pound package
b + 19s = 59
by solving the system of equations
b + 4s = 29
b + 19s = 59
we find
b = $21
s = $2
click here to see the step by step solution of the system of equations
the base price is $21.
the surcharge for each additional pound is $2.