# The equation of the constant proportionality 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 25E
To determine

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

Expert Solution

The equation of the constant proportionality is k=16

### Explanation of Solution

Given:

C is jointly proportional to l,wandh

l=2,w=2,h=2C=128

Concept used:

If the quantities x , y and z are related by an equation

z=kxy

Where k is nonzero constant

That is z varies jointly as x or z isjointly proportional to xandy

The constant k is called constant proportionality

Calculation:

If the quantities C,l,w and h are related by an equation

Cαlwh

C=klwh.........................(1)

For some constant k0

That is C varies jointly as l,w,h or C is jointly proportional to l,wandh

The constant k is called constant proportionality

If l=2,w=2,h=2C=128

From equation (1)

C=klwh128=8kk=1288k=16

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