Question

The dealership is offering a $2000 rebate and a 10% discount off the price of the car. Part A - What is the price of the car after receiving the rebate (R) and the price of the car after receiving the discount (S)? Part B - R(S(p)) represents the price of the car?

A) R represents the price after the rebate, S represents the price after the discount
B) R represents the price after the discount, S represents the price after the rebate
C) R represents the original price, S represents the final price
D) R represents the final price, S represents the original price

Answer 1

To find the price after receiving the rebate, subtract $2000 from the original price. To find the price after receiving the discount, multiply the original price by 90%. R represents the final price after the rebate, and S represents the original price before the discount.

Step-by-step explanation:

Part A - To find the price of the car after receiving the rebate (R), you subtract $2000 from the original price of the car. For example, if the original price of the car is $25,000, the price after the rebate would be $25,000 - $2000 = $23,000.

To find the price of the car after receiving the discount (S), you multiply the original price of the car by 90% (or 0.9) to represent a 10% reduction. For example, if the original price of the car is $25,000, the price after the discount would be $25,000 x 0.9 = $22,500.

Part B - The correct representation would be D) R represents the final price, S represents the original price. The price of the car after receiving the rebate (R) is the final price, as it already includes the rebate. The price of the car after receiving the discount (S) is the original price, as it represents the price before the discount is applied.