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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	17,000	21,000	25,500	31,500	38,500	47,500

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 43,000 ants

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