Stumped on Algebra Homework Problem
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Stumped on Algebra Homework Problem

[From: ] [author: ] [Date: 12-03-02] [Hit: ]
Then r(p)=p-1500 and d(p)=0.90p.Write a composite function for the dealer taking the rebate first and then the discount.Write a composite function for the dealer taking the discount first and then the rebate.Which composite function would you prefer the dealer use if you were buying a new car?-Rebate first gives (p-1500) then 10% off =90% of (p-1500)=0.......
A car dealership offers a $1500 rebate and a 10% discount off the price of a new car. Let p be the sticker price of new car on the dealer’s lot, let r be the rebate, and let d be the discount. Then r(p)=p-1500 and d(p)=0.90p.

Write a composite function for the dealer taking the rebate first and then the discount.
Write a composite function for the dealer taking the discount first and then the rebate.
Which composite function would you prefer the dealer use if you were buying a new car?

-
Rebate first gives (p-1500) then 10% off =90% of (p-1500)=0.90p -900
Discount first gives 0.90p, then rebate =0.90p-1500

Since the second is smaller than the first (by $600) it is preferable.
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