# The function that models area of a poster in terms of its width whose length is 10 inch longer than its width w . ### 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 2P
To determine

## To find: The function that models area of a poster in terms of its width whose length is 10 inch longer than its width w .

Expert Solution

The function is modeled as A(w)=w2+10w .

### Explanation of Solution

Area of rectangular poster is,

Area=length×width

Width of poster is w .

Model the function in single variable w .

The length (l) of given Poster is 10 inch longer than its width (w) , express it algebraically.

l=w+10

Summarize all the information in a table as shown below,

 In Words In Algebra Width w Length w+10

Model the function from information given in the table.

Area=length×widthA(w)=(w+10)(w)=w2+10w

Thus, the function is modeled as A(w)=w2+10w .

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