Answer:
D. 10,699
Step-by-step explanation:
The given data for the Population Count Per Year is presented as follows;
Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8
[tex]\begin{array}{ccccccccc}Number \ of \ Years \ (x)&1&2&3&4&5&6&7&8\\Population \ (y)&1,440&1,728&2,074&2,488&2,986&3,583&4,300&5,160\end{array}[/tex]The data regression equation is y = 1,200·(1.2)ˣ
Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;
After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32
Therefore, the option which is the best prediction is 10,699.