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

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

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

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

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

3. The "rule of 70" says that if a number grows at p% per time period, it will take about 70/p time periods to double. For example, a population that grows at 1% per year should take about 70/1=70 years to double. Explain how your work in the previous problem shows that this "rule" was followed by the mouse population.

Expert Solution

milcah answered 2 years ago

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