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Chapter 11: Q1. (page 734)

What is the inverse variation equation for the numbers shown in the table?

xy
-816
-432
2-64
8-16
16-8
  1. y=-2x
  2. y=8
  3. xy=24
  4. xy=鈭�128

Short Answer

Expert verified

Option D is the correct answer.

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 variablesx andy is given by

xy=k

Where,k is called the constant of variation.

03

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

Observe the table.

Atx=鈭�8,鈥�y=16

Substitute,x=鈭�8,鈥�y=16 in xy=k.

role="math" localid="1648119448347" 鈭�816=k鈭�128=kk=鈭�128

Substitutek=鈭�128 in xy=k.

xy=鈭�128

Hence, the inverse variation equation is xy=鈭�128.

Therefore option D is the correct answer.

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