The suggested retail price of a new hybrid car is p dollars. The dealership advertises a factory rebate of $3000 and a 30% discount.
Write a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the Factory.
A) $R ( p ) = p - 3000$
B) $R ( p ) = p + 900$
C) $R ( p ) = p - 900$
D) $R ( p ) = 3000 - p$
E) $R ( p ) = p + 3000$

Question

The suggested retail price of a new hybrid car is p dollars. The dealership advertises a factory rebate of $3000 and a 30% discount.
Write a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the Factory. 
A) $R ( p ) = p - 3000$
B) $R ( p ) = p + 900$
C) $R ( p ) = p - 900$
D) $R ( p ) = 3000 - p$
E) $R ( p ) = p + 3000$

Quizplus · Accepted Answer

The cost after the rebate and discount is calculated by first applying the 30% discount to the price $p$, which is $0.7p$, and then subtracting the $3000 rebate, resulting in $R(p) = 0.7p - 3000$. However, none of the given options exactly match this formula, suggesting a misunderstanding in the question's interpretation. Given the options, $R(p) = p - 3000$ is the closest to representing a reduction in price by $3000, which is part of the correct calculation.

The Suggested Retail Price of a New Hybrid Car Is R(p)=p−3000R ( p ) = p - 3000R(p)=p−3000

The Suggested Retail Price of a New Hybrid Car Is $R ( p ) = p - 3000$