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Real Life Exponential Graphs worksheet

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) 6,000 7,500 9,000 11,000 13,500 16,500 20,500 25,000 30,500 37,500 45,500
1) Plot the data on the graph as an exponential curve
2) Use your graph to estimate the ant colony population after 9.5 months
3) How many months it would take for the any colony population to reach 10,000 ants

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2) After 9.5 months there are approximately 41,500 ants
3) It would take approximately 2.5 months for the colony to grow to 10,000 ants


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