Chapter 11: Q1. (page 734)

What is the inverse variation equation for the numbers shown in the table?
$x$ $y$
-8 16
-4 32
2 -64
8 -16
16 -8
$y = - 2 x$
$y = 8$
$x y = 24$
$x y = - 128$

Short Answer

Expert verified

Option D is the correct answer.

Step by step solution

Step 1. Define the meaning of variation.

The changing of variable parameters is called a variation.

Step 2. Define the inverse variation.

The inverse variation of two variables $x$ and $y$ is given by

$x y = k$

Where, $k$ is called the constant of variation.

Step 3. Determine the inverse variation equation for the numbers given in the table.

Observe the table.

At $x = - 8, y = 16$

Substitute, $x = - 8, y = 16$ in $x y = k$ .

role="math" localid="1648119448347" $(- 8) (16) = k - 128 = k k = - 128$

Substitute $k = - 128$ in $x y = k$ .

$x y = - 128$

Hence, the inverse variation equation is $x y = - 128$ .

Therefore option D is the correct answer.

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What is the inverse variation equation for the numbers shown in the table?
$x$ $y$
-8 16
-4 32
2 -64
8 -16
16 -8
$y = - 2 x$
$y = 8$
$x y = 24$
$x y = - 128$

Short Answer

Step by step solution

Step 1. Define the meaning of variation.

Step 2. Define the inverse variation.

Step 3. Determine the inverse variation equation for the numbers given in the table.

One App. One Place for Learning.

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What is the inverse variation equation for the numbers shown in the table?xy-816-4322-648-1616-8y=-2xy=8xy=24xy=−128

Short Answer

Step by step solution

Step 1. Define the meaning of variation.

Step 2. Define the inverse variation.

Step 3. Determine the inverse variation equation for the numbers given in the table.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

What is the inverse variation equation for the numbers shown in the table?
$x$ $y$
-8 16
-4 32
2 -64
8 -16
16 -8
$y = - 2 x$
$y = 8$
$x y = 24$
$x y = - 128$