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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	14,000	18,000	23,500	30,500	39,500	51,000	66,500

1) Plot the data on the graph as an exponential curve
2) Use your graph to estimate the ant colony population after 7.5 months
3) How many months it would take for the any colony population to reach 45,000 ants

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