Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q17.

Expert-verified

Algebra 1

Found in: Page 731

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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 $x y = 16$ .

Most popular questions for Math Textbooks

Find each quotient.

$(2 x^{2} + 10 x) \div 2 x$

Simplify each expression.

$\frac{4 y^{2}}{8 y^{4} + 16 y^{3}}$

Find each quotient.

$(5 x^{2} y^{2} - 10 x^{2} y + 5 x y) \div 5 x y$

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The rational function $y = \frac{2}{x - 1} + 3$ has a horizontal asymptote at $\underline{y = 3}$ .

State the excluded value for the function.

$y = \frac{2}{x}$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free