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 20E
To determine

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

Expert Solution

The constant proportional is k=115

Explanation of Solution

Given:

T is directly proportional to P

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 P and T are related by an equation

PαT

P=kT......................(1)

For some constant k0

That is P varies directly as T or T is directly proportional to P

The constant k is called constant proportionality

If T=300,P=20

From equation (1)

P=kT20=300kk=20300k=115

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