# The equation of the constant proportional 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 24E
To determine

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

Expert Solution

The equation of the constant proportional is k=50

### Explanation of Solution

Given:

t jointly proportional to x,y or t is inversely proportional to r

x=2,y=3,r=12,t=25

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 t and x,y are related by an equation

tαxyr

t=kxyr......................(1)

For some constant k0

That is t jointly proportional to x,y or t is inversely proportional to r

The constant k is called constant proportionality

If x=2,y=3,r=12,t=25

From equation (1)

t=kxyr25=k×2×312k=12×252×3k=50

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