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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	13,000	16,500	20,000	25,000	30,500	38,000	47,000	58,000

1) Plot the data on the graph as an exponential curve
2) Use your graph to estimate the ant colony population after 5.5 months
3) How many months it would take for the any colony population to reach 9,500 ants

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