Question the-to

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
0:00

The total revenue from sales of a product can be calculated using the formula T equals, P Q, where T is the total revenue, P is the price of the product, and Q is the quantity of the product sold. Which of the following equations gives the quantity of product sold in terms of P and T ?

A.

Q equals, P over T

B.

Q equals, T over P

C.

Q equals, P T

D.

Q equals, T minus P

The total revenue from sales of a product can be calculated using the formula , where

Medium-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. Solving the given equation for Q gives the quantity of the product sold in terms of P and T. Dividing both sides of the given equation by P yields T over P, equals Q, or Q equals, T over P. Therefore, Q equals, T over P gives the quantity of product sold in terms of P and T.

Choice A is incorrect and may result from an error when dividing both sides of the given equation by P. Choice C is incorrect and may result from multiplying, rather than dividing, both sides of the given equation by P. Choice D is incorrect and may result from subtracting P from both sides of the equation rather than dividing both sides by P.