Concept explainers
a.
To create a
a.
Answer to Problem 23CT
The scatter plot of the data is:
Explanation of Solution
Given information:
The data given is:
Calculation :
The scatter plot of the data is given below:
b.
To find the quadratic model of the data.
b.
Answer to Problem 23CT
The quadratic model of the data is
Explanation of Solution
Given information:
The data given is:
Calculation :
The values of the quadratic model is:
Hence, the quadratic model of the data is
c.
To graph the quadratic model and determine if it is a good fit for the data.
c.
Explanation of Solution
Given information:
The quadratic model of the data is
The scatter plot of the data is:
Graph:
The graph of the quadratic model is
Interpretation:
Yes, the quadratic model is good fit for the data.
The budget rose to a certain point and then started falling.
d.
To estimate the amounts spent on national defense in 2015 and 2020.
d.
Answer to Problem 23CT
The amount spent in National defense in 2015 is estimated to be
The amount spent in National defense in 2015 is estimated to be
Explanation of Solution
Given information:
The quadratic model of the data is
The scatter plot of the data is:
Calculation :
To estimate the amounts spent on national defense in 2015 and 2020, put
Estimate of the amount spent in 2015 can be calculated by:
Hence, the amount spent in National defense in 2015 is estimated to be
Estimate of the amount spent in 2020 can be calculated by:
Hence, the amount spent in National defense in 2015 is estimated to be
e.
To explain if the model is useful for predicting the amounts spent on national defense for years beyond 2013.
e.
Answer to Problem 23CT
No, it will not be useful for predicting the data after the year 2013.
Explanation of Solution
Given information:
The amount spent in National defense in 2015 is estimated to be
The amount spent in National defense in 2015 is estimated to be
On calculating the estimates of the data for the year 2015 and 2020, it is seen that the estimated amounts are decreasing because of the graph.
No, it will not be useful for predicting the data after the year 2013.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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