A car dealership offers a $1400 rebate and a 5% discount off the price of a new car. Let p be the sticker price of a new car on the dealer's lot, r the price after the rebate, and d the discounted price. Then
r(p) = p − 1400
and
d(p) = 0.95p
looks like a good description...
To find the price of a new car after the rebate is applied, we use the formula:
r(p) = p - 1400
This means that the price after the rebate, denoted as r(p), is equal to the sticker price of the car, p, minus the rebate amount of $1400.
To find the discounted price of the car, we use the formula:
d(p) = 0.95p
Here, the discounted price, denoted as d(p), is equal to 95% (or 0.95) of the sticker price of the car, p.
So, given the sticker price of the car, p, we can find the price after the rebate, r(p), and the discounted price, d(p), using the given formulas.