Which type function best models the data in each ordered pair? Write an equation to model the data.
To find : Which type of function best model the given data and write an equation to model the data.
Answer to Problem 22P
Exponential model is the most appropriate model and the equation to model the data is
Explanation of Solution
Given information :
The given ordered pairs are
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.
From the values in the given table,
The y values have common ratio. Therefore, exponential model is the most appropriate model.
Also, the equation to model the data is
Hence,
Exponential model is the most appropriate model and the equation to model the data is
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