Chapter 11: Q17. (page 731)

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
role="math" localid="1648019765637" $y = 2$ when $x = 8$

Short Answer

Expert verified

The inverse variation equation is $x y = 16$ .

Step by step solution

Step 1. Inverse variation.

$y$ varies inversely as $x$ if there is some nonzero constant $k$ such that $x y = k$ , where $x, y \neq 0$ .

Step 2. Substitute.

Substitute 2 for $y$ and 8 for $x$ into $x y = k$ .

$2 \cdot 8 = k 16 = k$

Step 3. Write the conclusion.

The constant of the variation is 16. Therefore, the inverse variation equation is $x y = 16$ .

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Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
role="math" localid="1648019765637" $y = 2$ when $x = 8$

Short Answer

Step by step solution

Step 1. Inverse variation.

Step 2. Substitute.

Step 3. Write the conclusion.

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Assume thaty varies inversely as x. Write an inverse variation equation that relatesx and y.role="math" localid="1648019765637" y=2whenx=8

Short Answer

Step by step solution

Step 1. Inverse variation.

Step 2. Substitute.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Applied Mathematics

Mechanics Maths

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
role="math" localid="1648019765637" $y = 2$ when $x = 8$