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 18E
To determine

To find:

The equation of the constant proportional given that the statement

Expert Solution

Answer to Problem 18E

The equation of the constant proportional is k=15

Explanation of Solution

Given:

  z is inversely proportional to t

  t=3,z=5

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 z and t are related by an equation

  zα1t

  z=kt......................(1)

For some constant k0

That is z varies inversely t or z is inversely proportional to t

The constant k is called constant proportionality

If t=3,z=5

From equation (1)

  z=kt5=k3k=15

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