# The equation 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 22E
To determine

Expert Solution

## Answer to Problem 22E

The equation is k=9

### Explanation of Solution

Given:

S is jointly proportional to pandq

p=4q=5S=180

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 S,p and q are related by an equation

Sαpq

S=kpq.....................(1)

For some constant k0

That is S varies jointly as p or S is jointly proportional to pandq

The constant k is called constant proportionality

p=4q=5S=180

From equation (1)

S=kpq180=k×4×5k=18020k=9

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