5 A company is building a rectangular parking lot for a new building structure. The company wants to maximize the number of cars that fit in the parking lot by maximizing the area of the parking lot. The company has a 3000-meter perimeter to work with when building the parking lot. Complete the table to show the length of the parking lot for each given width. Width (meters) 250 500 750 1000 1250 1500 Length (meters) Define the function /(w) to represent the length of the parking lot as a function of the width. © Define the function A(w) to represent the area of the parking lot as a function of the width. d Determine the maximum area of the parking lot as well as the length and width that will result in the maximum area.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5 A company is building a rectangular parking lot for a new building structure. The company
wants to maximize the number of cars that fit in the parking lot by maximizing the area
of the parking lot. The company has a 3000-meter perimeter to work with when building
the parking lot.
Complete the table to show the length of the parking lot for each given width.
Width
(meters)
250
500
750
1000
1250
1500
Length
(meters)
Define the function I(w) to represent the length of the parking lot as a function
of the width.
Define the function A(w) to represent the area of the parking lot as a function of the width.
d Determine the maximum area of the parking lot as well as the length and width that will
result in the maximum area.
Composing and Decomposing Functions > Skills Practice
49
Transcribed Image Text:5 A company is building a rectangular parking lot for a new building structure. The company wants to maximize the number of cars that fit in the parking lot by maximizing the area of the parking lot. The company has a 3000-meter perimeter to work with when building the parking lot. Complete the table to show the length of the parking lot for each given width. Width (meters) 250 500 750 1000 1250 1500 Length (meters) Define the function I(w) to represent the length of the parking lot as a function of the width. Define the function A(w) to represent the area of the parking lot as a function of the width. d Determine the maximum area of the parking lot as well as the length and width that will result in the maximum area. Composing and Decomposing Functions > Skills Practice 49
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