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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

01

Step 1. Define the meaning of variation.

The changing of variable parameters is called a variation.

02

Step 2. Define the inverse variation.

The inverse variation of two variables xand yis given by

xy=k

Here, kis called the constant of variation.

03

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

Observe the table.

2脳8=164脳4=168脳2=1616脳1=16

Since the product xyis a constant, so it represents an inverse variation.

Therefore the given table represents an inverse variation.

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