Concept explainers
Which type of function best models Is the data in each table? Use differences or ratios.
To find : Which type of function best model the given data, use differences or ratio.
Answer to Problem 9P
Quadratic model is the most appropriate model.
Explanation of Solution
Given information :
The given table value is
Calculation :
To find the type of model from the given set of data use the followings:
- If the first difference of the y values is common, then linear model fits the data
- If the second difference of the y values is common, then quadratic model fit the data.
- If the y values have the common ratio, then an exponential model fits he data.
For the given set of data, find the find difference of the y values:
Since, the first differences is not common, so find the second differences
Since, the second differences are common. Therefore, quadratic model is the most appropriate model.
Hence,
Quadratic model is the most appropriate model.
Chapter 9 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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