BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 1.11, Problem 22E
To determine

To find:

The equation given that the statement

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

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!