# The relation of the quantity y to the quantity x and the term used for constant 3 if the quantities x and y are related by y = 3 x .

### 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 1E
To determine

## To fill: The relation of the quantity y to the quantity x and the term used for constant 3 if the quantities x and y are related by y=3x .

Expert Solution

The quantity y is directly proportional to the quantity x and constant of proportionality is 3.

### Explanation of Solution

If the quantities x and y are related by an equation,

y=kx (1)

For some constant k0 , we say that y varies directly as x , or y is directly proportional to x . The constant k is called the constant of proportionality.

The given equation is,

y=3x (2)

Compare the equation (2) with equation (1) to infer that y is directly proportional to x and 3 is called the constant of proportionality.

Therefore, the quantity y is directly proportional to the quantity x and constant of proportionality is 3.

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