A homeowner is planning to fence in a play area for his dog Moose, and he decides that he’d like to spend no more than the cost of 160 feet of fence. But since he wants Moose to have plenty of room for chasing squirrels, he decides to use the full 160 feet. He also wants the play area to be rectangular. Use the smooth marked scatter plot to create a graph describing the width and area and answer the following questions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 36E
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A homeowner is planning to fence in a play area for his dog Moose, and he decides that he’d like to spend no more than the cost of 160 feet of fence. But since he wants Moose to have plenty of room for chasing squirrels, he decides to use the full 160 feet. He also wants the play area to be rectangular.

Use the smooth marked scatter plot to create a graph describing the width and area and answer the following questions.


1.) If you decide to make the play area 5 feet wide, how long would it be? 

2.) What would the length be if the play area is 50 feet wide?

3.) Based on the graph, what width makes the area as large as possible?

4.) What’s the area of the largest possible pen he can make out of 160 feet of fence?

Width (ft) Area (sq ft)
5 375
10 700
20 1200
30 1500
40 1600
50 1500
60 1200
70 700
80 0

 

Area (sq ft)
1800.0
1600.0
1400.0
1200.0
1000.0
800.0
600.0
400.0
200.0
0.0
10
20
30
40
50
60
70 80
90
Transcribed Image Text:Area (sq ft) 1800.0 1600.0 1400.0 1200.0 1000.0 800.0 600.0 400.0 200.0 0.0 10 20 30 40 50 60 70 80 90
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