1. A rectangular schoolyard is to be fenced in using the wall of the school for one side and 150 meters of fencing for the other three sides. The area A(x) in square meters of the schoolyard is a function of the length x in meters of each of the sides perpendicular to the school wall. a. Write an expression for A(x). b. What is the area of the schoolyard when x = 40? c. What is a reasonable domain for A in this context?

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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NAME
wit
koyas Tapm
T
Practice
Let's Make a Box
}
DATE
2. Noah finds an expression for V(x) that gives the
volume of an open-top box in cubic inches in
terms of the length x in inches of the cutout
squares used to make it. This is the graph Noah
gets if he allows x to take on any value between
-1 and 5.
1. A rectangular schoolyard is to be fenced in using the wall of the school for
one side and 150 meters of fencing for the other three sides. The area A(x)
in square meters of the schoolyard is a function of the length x in meters of
each of the sides perpendicular to the school wall.
a. Write an expression for A(x).
b. What is the area of the schoolyard when x = 40?
c. What is a reasonable domain for A in this context?
a. What would be a more appropriate domain
for Noah to use instead?
b. What is the approximate maximum volume
for his box?
y
15
10
LO
Topic What Is a
5
PERIOD
Transcribed Image Text:NAME wit koyas Tapm T Practice Let's Make a Box } DATE 2. Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the cutout squares used to make it. This is the graph Noah gets if he allows x to take on any value between -1 and 5. 1. A rectangular schoolyard is to be fenced in using the wall of the school for one side and 150 meters of fencing for the other three sides. The area A(x) in square meters of the schoolyard is a function of the length x in meters of each of the sides perpendicular to the school wall. a. Write an expression for A(x). b. What is the area of the schoolyard when x = 40? c. What is a reasonable domain for A in this context? a. What would be a more appropriate domain for Noah to use instead? b. What is the approximate maximum volume for his box? y 15 10 LO Topic What Is a 5 PERIOD
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