Q5. Graph an inverse variation equat... [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: Q5. (page 672)

Graph an inverse variation equation in which $y = 16$ when $x = 4$ .

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 16 for $y$ , 4 for $x$ into the equation $x y = k$ and solve for $k$ .

$x y = k 4 脳 16 = k 64 = k$

The constant of variation is $k = 64$ . So, the equation that relates $x$ and $y$ is $x y = 64$ .

Step 3. Plot the points on the graph.

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

$x_{1}$	$y_{1}$
2	32
4	16
$- 2$	$- 32$
$- 4$	$- 16$
8	8
$- 8$	$- 8$
10	64
$- 10$	$- 6.4$

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

The graph obtained is:

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91影视

Graph an inverse variation equation in which $y = 16$ when $x = 4$ .

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.

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91影视

Graph an inverse variation equation in whichy=16whenx=4.

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

Calculus

Statistics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Graph an inverse variation equation in which $y = 16$ when $x = 4$ .