a.
To Plot: The points. And find the model for the data set.
Given:
Width | Length | Area |
Explanation:
The completed table is shown below:
If
Then perimeter of rectangle is
Width | Length | Area |
The points
The given data can be modelled by
b.
To Find: The another point in the data set. Verify the model by using it.
The another point can be
Given:
Width | Length | Area |
Explanation:
In the data set, another point can be
Since when width is
Calculate the area:
Verify by using the model
Approximately the values are equal.
c.
To Find: The reasonable domain for this function.
The reasonable domain for this function is
Given:
Width | Length | Area |
Explanation:
When width is
Hence, the domain conditions are
Add
Rewrite it as:
Domain of the function
d.
To Find: The maximum possible area. Find the dimensions that yield the area.
The maximum possible area is
Given:
Width | Length | Area |
Explanation:
Maximum possible area is the maximum value of
Maximum area of the rectangle is
Find the Dimension:
When width
e.
To Find: The function for area in terms of width without using the table.
The function for area in terms of width without using the table is
Given:
Width | Length | Area |
Explanation:
When width is
Area of the rectangle:
So, the model is
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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