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?
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?
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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.
Discount first gives 0.90p, then rebate =0.90p-1500
Since the second is smaller than the first (by $600) it is preferable.