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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)	9,000	11,500	14,000	17,500	22,000	27,500	34,500	43,000	53,500	67,000	84,000

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 75,000 ants

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