Question

A store is having a sale on car stereos. First a certain percentage is taken off the price, and then the price reduced by a fixed number of dollars, representing the purchase price. Which of the following equations could be used to model this situation?

(A) 12x - 300 = 800
(B) 1500 - 120x = 660
(C) 14x + 3x + 150 = 1102
(D) 0.9x - 10 = 116

Answer 1

Option (B) is the correct equation that could be used to model this situation. It includes a percentage reduction and a fixed reduction in dollars.

Step-by-step explanation:

To model the situation, we need to find an equation that represents the given scenario. The equation should include a percentage off the original price and a fixed reduction in dollars.

Looking at the given options:

(A) 12x - 300 = 800

(B) 1500 - 120x = 660

(C) 14x + 3x + 150 = 1102

(D) 0.9x - 10 = 116

Option (B) is the correct equation that could be used to model this situation. It includes a percentage reduction (120x) and a fixed reduction in dollars (660).