Question

A car dealership offers a $1,900 factory rebate and a 8% discount off the Price of a new car c.

Write a function r for the cost of the car after receving only the factory rebate.

Enter numbers with more than three digits witout using a comma. For example, enter "1000", but not enter "1,000"

r(c)=

Write a function p for the cost of the car after receiving only the dealership discount.

p(c)=

Evaluate (rop)(c) and explain what the composition represents.

(rop)(c)=

(rop)(c) represents the cost of the car when the _________  _______ is applied first and then the _________  _________ is applied.

Answer 1

r(c)=c-1900; factory rebate only

p(c)=0.92c; dealership discount only

rop(c)=0.92(c-1900); factory rebate is applied first, then the dealership discount of 8%, which reduces the cost after the factory rebate to 100-8=92%.