Name:                                    Date:

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	10,500	12,500	14,500	17,000	20,000	23,500	28,000	32,500	38,500	45,000

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 16,000 ants

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