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) |
5,000 | 6,500 | 8,500 | 11,000 | 14,000 | 18,000 | 23,500 | 30,500 | 39,500 | 51,000 | 66,500 |

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 45,000 ants

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3) It would take approximately 8.5 months for the colony to grow to 45,000 ants

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2) After 7.5 months there are approximately 35,000 ants3) It would take approximately 8.5 months for the colony to grow to 45,000 ants

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