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A population of 50 mice was introduced into a field where there haven't been any mice...

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Basic Math

A population of 50 mice was introduced into a field where therehaven't been any mice before. Even though they had to deal withpredators, the population grew at 2% per month.

1. Create an exponential model where p in thepopulation of mice and m is the number of months that havepassed since the initial population was introduced.

2. How many months does your model say it will take thepopulation to reach 100? How about 200? Fill in the blanks andexplain how you did it

It will take ________ months from the initial introduction forthe population to reach 100, and _______ months from the initialintroduction for the population to reach 200.

3. The \"rule of 70\" says that if a number grows at p% per timeperiod, it will take about 70/p time periods to double. Forexample, a population that grows at 1% per year should take about70/1=70 years to double. Explain how your work in the previousproblem shows that this \"rule\" was followed by the mousepopulation.

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