# An equation to model a real world situation and give an example.

### 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 1.6, Problem 1E
To determine

## To explain: An equation to model a real world situation and give an example.

Expert Solution

### Explanation of Solution

Consider an example for an equation to model a real-world situation.

A rectangular plot is used for farming. The rectangular plot is thrice as long as it is wide. The area of plot is 1728ft2. Find the width of plot.

In this question width of plot is ask to find. Consider the unknown value x.

Let, the width of plot be x.

Tabulate the given information into the language of algebra.

 In words In algebra Width of plot x Length of plot 3x

Model the equation for the above information.

length×width=Areaofplot(3x)×(x)=1728

Simplify further,

3x2=1728x2=576x=24

Thus, the width of plot is 24 ft.

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