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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)	5,000	6,500	8,500	11,000	14,500	19,500	25,500	33,000	43,500	57,000	74,500

1) Plot the data on the graph as an exponential curve
2) Use your graph to estimate the ant colony population after 3.5 months
3) How many months it would take for the any colony population to reach 29,000 ants

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