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Advanced Math
/ Nonlinear equations in one variable and systems of equations in two variables
Difficulty: Medium
Blood volume,
, in a human can be determined using the equation 
, where 
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?
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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 for H. Multiplying both sides of this equation by 
yields 
. Dividing both sides by yields 
. Subtracting 1 from both sides yields 
. Dividing both sides by 
yields 
.
Choices B, C, and D are incorrect and may result from errors made when manipulating the equation.