Q8. Assume that y聽varies inversely ... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q8. (page 673)

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ . Then graph the equation.
$y = 鈭� 1$ when $x = 鈭� 12$

Short Answer

Expert verified

The graph obtained is:

Step by step solution

Step 1. State the concept of inverse variation.

Relationship of the form $x y = k$ or $y = \frac{k}{x}$ where $x, y 鈮� 0$ for some nonzero constant $k$ is known as inverse variation i.e., $y$ varies inversely as $x$ .

Step 2. Write the equation that relates x and y.

Since $y$ varies inversely as $x$ an inverse variation equation is given by $x y = k$ so, substitute $- 1$ for $y, - 12$ for $x$ into the equation $x y = k$ and solve for $k$ .

$x y = k (鈭� 12) 脳 (鈭� 1) = k 12 = k$

The constant of variation is $k = 12$ . So, the equation that relates $x$ and $y$ is $x y = 12$ .

Step 3. Plot the points on the graph.

Create the table of values satisfying $y = \frac{12}{x}$ . Choose values for $x$ and $y$ that have a product of 64.

$x_{1}$	$y_{1}$
$- 2$	$- 6$
$- 4$	$- 3$
2	6
4	3
6	2

Plot each point and draw a smooth curve that connects these points.

The graph obtained is:

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ . Then graph the equation.
$y = 鈭� 1$ when $x = 鈭� 12$

Short Answer

Step by step solution

Step 1. State the concept of inverse variation.

Step 2. Write the equation that relates x and y.

Step 3. Plot the points on the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Mechanics Maths

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

91影视

Assume that yvaries inversely as x. Write an inverse variation equation that relates xand y. Then graph the equation. y=鈭�1whenx=鈭�12

Short Answer

Step by step solution

Step 1. State the concept of inverse variation.

Step 2. Write the equation that relates x and y.

Step 3. Plot the points on the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Mechanics Maths

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Assume that $y$ varies inversely as $x$ . Write an inverse variation equation that relates $x$ and $y$ . Then graph the equation.
$y = 鈭� 1$ when $x = 鈭� 12$