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) |
9,000 | 11,500 | 14,000 | 17,500 | 22,000 | 27,500 | 34,500 | 43,000 | 53,500 | 67,000 | 84,000 |

2) Use your graph to estimate the ant colony population after 3.5 months

3) How many months it would take for the any colony population to reach 75,000 ants

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3) It would take approximately 9.5 months for the colony to grow to 75,000 ants

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2) After 3.5 months there are approximately 19,500 ants3) It would take approximately 9.5 months for the colony to grow to 75,000 ants

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