The equation of the constant proportional given that the statement

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.11, Problem 23E
To determine

To find:The equation of the constant proportional given that the statement

Expert Solution

The equation of the constant proportional is k=106

Explanation of Solution

Given:

W is inversely proportional to r

r=6,W=10

Concept used:

If the quantities x and y are related by an equation

y=kx

For some constant k0

That is y varies inversely as x or y is inversely proportional to x

The constant k is called constant proportionality

Calculation:

If the quantities W and r are related by an equation

Wα1r

W=kr......................(1)

For some constant k0

That is W varies inversely r or W is inversely proportional to r

The constant k is called constant proportionality

If r=6,W=10

From equation (1)

W=kr10=k6k=106

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