Salespeople at Victory Motors give discounts based on the retail price of the car (as shown at the left) to repeat customers, such as Todd and Alyse If Todd buys a car with a retail price of $22.000, and Alyse buys a car for $14,500, what is the difference in the discounted prices of the cars?
(D) $6,465
(C) $6,750
(A)$7,125
(B) $6,900
To determine the difference in the discounted prices of the cars, we need to calculate the discounts for both Todd and Alyse's purchases.
According to the information provided, their discounts are based on the retail price of the cars. However, we don't have the discount percentages or the specific discount amounts associated with the retail prices.
To solve this problem, we will need to make some assumptions:
First, we'll assume that the discount percentage is the same for both Todd and Alyse.
Let's say the discount percentage is x. This means that the retail price after the discount for Todd's car is (1 - x) * $22,000, and the retail price after the discount for Alyse's car is (1 - x) * $14,500.
Next, we can calculate the discounted prices of the cars:
Todd's discounted price = (1 - x) * $22,000
Alyse's discounted price = (1 - x) * $14,500
Now, we can find the difference in the discounted prices:
Difference = Todd's discounted price - Alyse's discounted price
Difference = [(1 - x) * $22,000] - [(1 - x) * $14,500]
Difference = (1 - x) * ($22,000 - $14,500)
Since we don't have the specific discount percentage (x), we cannot calculate the actual dollar amounts for the discounted prices or the difference between them. Therefore, we cannot determine the correct answer choice from the given options (A, B, C, D).