# 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 19E
To determine

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

Expert Solution

The equation of the constant proportional is k=12

### Explanation of Solution

Given:

R is inversely proportional to s

s=4,R=3

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 R and s are related by an equation

Rα1s

R=ks......................(1)

For some constant k0

That is R varies inversely s or R is inversely proportional to s

The constant k is called constant proportionality

If s=4,R=3

From equation (1)

R=ks3=k4k=12

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