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Question blood-

1.2 Linear Equations in One Variable - Single-variable equations (multi-step)
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Blood volume,V sub B, in a human can be determined using the equation V sub B equals, the fraction with numerator V sub P, and denominator 1 minus H, end fraction, where V sub P is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume?

A.

H equals, 1 minus the fraction V sub P over V sub B

B.

H equals, the fraction V sub B over V sub P

C.

H equals, 1 plus the fraction V sub B over V sub P

D.

H equals, V sub B, minus V sub P

Blood volume, , in a human can be determined using the equation , where is the

Hard-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 A is correct. The hematocrit can be expressed in terms of the blood volume and the plasma volume by solving the given equation V sub B equals, the fraction with numerator V sub P, and denominator 1 minus H, end fraction for H. Multiplying both sides of this equation by open parenthesis, 1 minus H, close parenthesis yields V sub B, times, open parenthesis, 1 minus H, close parenthesis, equals V sub P. Dividing both sides by V sub B yields 1 minus H equals, the fraction V sub P, over V sub B. Subtracting 1 from both sides yields negative H equals, negative 1 plus, the fraction V sub P over V sub B. Dividing both sides by negative 1 yields H equals, 1 minus, the fraction V sub P over V sub B.

Choices B, C, and D are incorrect and may result from errors made when manipulating the equation.

 

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