The suggested retail price for a new car is p dollars. The dealership advertises a 10% discount and a factory rebate of $1500. Write a function S in terms of p, representing the cost of the car after receiving the dealership discount.
S = 0.9p - 1500
To find the cost of the car after receiving the dealership discount, we need to subtract the discount from the original price.
Let's break it down step by step:
1. Start with the original price of the car, which is p dollars.
2. Apply the dealership discount of 10% to the original price. To calculate this, we need to multiply the original price by 10% (or 0.10 since 10% is equivalent to 0.10).
The discount amount = 0.10 * p dollars
3. Subtract the discount amount from the original price to get the cost of the car after the dealership discount:
Cost after dealership discount = original price - discount amount
= p dollars - (0.10 * p dollars)
= p dollars - 0.10p dollars
= (1 - 0.10) * p dollars
= 0.90 * p dollars
Therefore, the function S(p) representing the cost of the car after receiving the dealership discount would be:
S(p) = 0.90p dollars