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Nonlinear equations in one variable and systems of equations in two variables SAT question
Math · Advanced Math · Easy · Answer it here, explanation included.
The total revenue from sales of a product can be calculated using the formula 
, 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 ?
ExplanationShow
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 
, or 
. Therefore, 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.
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