# The function that models the product ( P ) of two positive numbers whose sum is 60 and one of the numbers is 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 2, Problem 14P
To determine

## To find: The function that models the product (P) of two positive numbers whose sum is 60 and one of the numbers is x.

Expert Solution

The function that model product of given numbers is P(x)=60xx2,x>0 .

### Explanation of Solution

The sum of two given numbers is 60 and one number is x.

Let second number be y.

Sum of x and y is 60.

x+y=60

Subtract x from both sides of above equation

x+yx=60xy=60x

Product of two given number is,

P=xy

Substitute 60x for y in above equation.

P=x(60x)=60xx2

Thus, function that model product of given numbers is P(x)=60xx2,x>0 .

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