# 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 17E
To determine

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

Expert Solution

The constant proportional is k=7

### Explanation of Solution

Given:

y is directly proportional to x

x=6,y=42

Concept used:

If the quantities x and y are related by an equation

y=kx

For some constant k0

That is y varies directly as x or y is directly proportional to x

The constant k is called constant proportionality

Calculation:

If the quantities y and x are related by an equation

yαx

y=kx......................(1)

For some constant k0

That is y varies directly as x or y is directly proportional to x

The constant k is called constant proportionality

If x=6,y=42

From equation (1)

y=kx42=k6k=426k=7

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