(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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