BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2, Problem 1P
To determine

To find: The function that models area of a rectangular building in terms of its width whose length is three times its width.

Expert Solution

Answer to Problem 1P

The function is modeled as A(w)=3w2 .

Explanation of Solution

The formula to calculate area of rectangle is,

Area=length×width

The width of rectangular building is w.

Model the function in single variable (w) , express the length in terms of width.

Length is three times its width, express it algebraically.

l=3w

Summarize all the information in a table as shown below,

In Words In Algebra
Width w
Length 3w

Model the function from information in above table.

Area=length×widthA(w)=(3w)(w)=3w2

Thus, the function is modeled as A(w)=3w2 .

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