A mathematical model predicting the growth of an ant colony population over 10 months is shown in the table below:Name: Date:

Months (x) |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

Ant colony population (y) |
7,000 | 8,500 | 10,500 | 12,500 | 15,500 | 18,500 | 22,500 | 27,500 | 33,000 | 40,500 | 49,000 |

2) Use your graph to estimate the ant colony population after 2.5 months

3) How many months it would take for the any colony population to reach 36,500 ants

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3) It would take approximately 8.5 months for the colony to grow to 36,500 ants

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2) After 2.5 months there are approximately 11,500 ants3) It would take approximately 8.5 months for the colony to grow to 36,500 ants

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