To determine : The reason for quadratic model being more appropriate for the given data.
The quadratic model is more appropriate for the given data because it shows an increasing trend.
Given information :
The table given below shows the number of students enrolled in a high school personal finance course.
Year | No. of Students Enrolled |
A student says that a cubic model would best fit the data based on the
Explanation :
Construct quadratic and cubic model for this data using calculator and take 2000 as the base year, where
The quadratic model will be
The values are
  
The graph of the model will be:
  
The cubic model will be
The values are
So, the cubic model will be:
  
The graph of the model will be:
  
From the given table it can be observed that the number of students are increasing constantly and it is well represented by graph of the quadratic model.
Therefore, the quadratic model is more appropriate for the given data.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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