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 28E
To determine

To find:

The equation given that the statement

Expert Solution

Answer to Problem 28E

The equation is M=k(abcd) and k=32

Explanation of Solution

Given:

  M is jointly propostional to a,b,c or d is inversely proportional

  M=128,b=2,c=2

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 M,a,b and c are related by an equation

  Mαabcd

  M=k(abcd)..............(1)

For some constant k0

That is M isjointlypropostional to a,b,c or d is inversely proportional

The constant k is called constant proportionality

  M=128,b=2,c=2

Using equation (1)

  M=k(abcd)128=k×2d×2×a128=ak×4d

Since a=d

So

  128=4kk=32

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