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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) 7,000 8,500 10,500 13,000 16,500 20,000 25,000 30,500 38,000 47,000 58,000
1) Plot the data on the graph as an exponential curve
2) Use your graph to estimate the ant colony population after 5.5 months
3) How many months it would take for the any colony population to reach 9,500 ants

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2) After 5.5 months there are approximately 22,500 ants
3) It would take approximately 1.5 months for the colony to grow to 9,500 ants


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