SAT Math Multiple Choice Question 466: Answer and Explanation

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Question: 466


Ideally, blood should flow smoothly through the arteries in our bodies. When there are problems, or as a natural part of aging, there is an increased amount of resistance to blood flow. Viscosity is a term used to describe the thickness or stickiness of the blood and is directly related to this resistance, as are the radius and the length of the artery through which the blood flows. The formula given above relates the radius (r) of an artery to the viscosity (k), resistance (R), and length (l) of that artery. Which of the following represents the viscosity in terms of the other variables?

  • A.
  • B.
  • C.
  • D.

Correct Answer: A



Difficulty: Medium

Category: Passport to Advanced Math / Exponents

Strategic Advice: Don't worry too much about the scientific information. All you really need to know is that k is the viscosity, which means you're solving the equation for k.

Getting to the Answer: The inverse of taking a fourth root is raising to the fourth power, so start by raising both sides of the equation to the fourth power to remove the radical, and then go from there.

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