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A mathematical model predicting the growth of an ant colony population over 10 months is shown in the table below:

Months (x)	0	1	2	3	4	5	6	7	8	9	10
Ant colony population (y)	8,000	9,500	11,000	13,000	15,500	18,500	21,500	25,500	30,000	35,500	42,000

1) Plot the data on the graph as an exponential curve
2) Use your graph to estimate the ant colony population after 8.5 months
3) How many months it would take for the any colony population to reach 27,500 ants

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