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 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

Answer to Problem 2P

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 .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!