The data in the table show the population growth of a city since the year 2000. What kind of function models the data? How do you know?
To find : Which type of function best model the given data.
Answer to Problem 5STP
Exponential 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.
Find the ratio of the y values.
Since, y values have the common ratio. Therefore, exponential model is the most appropriate model
Hence,
Exponential model is the most appropriate model.
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