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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)	7,000	8,500	10,500	12,500	15,500	18,500	22,500	27,500	33,000	40,500	49,000

1) Plot the data on the graph as an exponential curve
2) Use your graph to estimate the ant colony population after 2.5 months
3) How many months it would take for the any colony population to reach 36,500 ants

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