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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)	6,000	7,500	9,000	11,000	13,500	16,500	20,500	25,000	30,500	37,500	45,500

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 18,500 ants

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