Chapter 11: Q1. (page 699)

Determine whether the table represents an inverse variation. Explain.
$x$
$y$
2
8
4
4
8
2
16
1

Short Answer

Expert verified

The given table represents an inverse variation.

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

$x y = k$

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

Step 3. Determine whether the given table represents an inverse variation.

Observe the table.

$\begin{matrix} 2 \times 8 = 16 \\ 4 \times 4 = 16 \\ 8 \times 2 = 16 \\ 16 \times 1 = 16 \end{matrix}$

Since the product $x y$ is a constant, so it represents an inverse variation.

Therefore the given table represents an inverse variation.

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Determine whether the table represents an inverse variation. Explain.
$x$
$y$
2
8
4
4
8
2
16
1

Short Answer

Step by step solution

Step 1. Define the meaning of variation.

Step 2. Define the inverse variation.

Step 3. Determine whether the given table represents an inverse variation.

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Determine whether the table represents an inverse variation. Explain.xy284482161

Short Answer

Step by step solution

Step 1. Define the meaning of variation.

Step 2. Define the inverse variation.

Step 3. Determine whether the given table represents an inverse variation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Decision Maths

Discrete Mathematics

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Determine whether the table represents an inverse variation. Explain.
$x$
$y$
2
8
4
4
8
2
16
1