(a)
To calculate : The linear expression for the height and width.
The linear expression for the height and width is
Given information :
The volume in cubic feet of a CD holder can be expressed as
Formula used:
Volume of cuboid = length
Calculation :
The depth is given to be
Therefore, the linear expression for the height and width is
(b)
To graph : The given function and to find the
Given information :
The volume in cubic feet of a CD holder can be expressed as
Graph :
The graph of the function is as below:
Interpretation :
The
(c)
To determine : The realistic domain for the function.
The realistic domain for the function is the set of all real numbers.
Given information :
The volume in cubic feet of a CD holder can be expressed as
Explanation :
From the graph we get that the realistic domain for the function is the set of all real numbers.
(d)
To determine : The maximum volume of the CD holder.
The maximum volume of the CD holder is
Given information :
The volume in cubic feet of a CD holder can be expressed as
Explanation :
The graph of the function is:
From here we can observe that the maximum value of
Therefore, the maximum volume of the CD holder is
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to maryarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
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