A furniture moving company charges a fixed amount plus a charge for each pound that they move. A person who shipped 60 pounds of furniture was charged $280, while someone else was charged $610 to ship 170 pounds.
A. Write a function that represents the moving cost, C, in terms of pounds, x, and fixed cost.
B. Suppose the company changes their rates. They increase the per pound charge by $1 but cut the fixed amount they charge by half. What is the new function that represents the new moving cost, D?
C. Will someone who ships 170 pounds pay more or less with the new rates than they would have with the original rates?

Question

Quizplus · Accepted Answer

The Answer of A furniture moving company charges a fixed amount plus a charge for each pound that they move. A person who shipped 60 pounds of furniture was charged $280, while someone else was charged $610 to ship 170 pounds.
A. Write a function that represents the moving cost, C, in terms of pounds, x, and fixed cost.
B. Suppose the company changes their rates. They increase the per pound charge by $1 but cut the fixed amount they charge by half. What is the new function that represents the new moving cost, D?
C. Will someone who ships 170 pounds pay more or less with the new rates than they would have with the original rates?

A Furniture Moving Company Charges a Fixed Amount Plus a Charge