Chapter 11: Q18. (page 731)

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
$y = - 3$ when $x = 1$

Short Answer

Expert verified

The inverse variation equation is $x y = - 3$ .

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 for $- 3$ and 1 for $x$ into $x y = k$ .

localid="1648020574656" $1 \cdot (- 3) = k - 3 = k$

Step 3. Write the conclusion.

The constant of the variation is $- 3$ . Therefore, the inverse variation equation is $x y = - 3$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
$y = - 3$ when $x = 1$

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

Applied Mathematics

Calculus

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Assume that yvaries inversely as x. Write an inverse variation equation that relates xand y.y=−3whenx=1

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

Applied Mathematics

Calculus

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ .
$y = - 3$ when $x = 1$