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Suppose a population grows at a rate of 28 % per day. When will the population triple? days 2. Suppose the doubling time for a population is 8 days. (a) What is the growth rate of this population? % (b) When will this population triple? 200 days

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User LikerRr
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Final answer:

A population growing at 28% per day will triple in about 1.22 days. A population with a doubling time of 8 days has a daily growth rate of approximately 9.6%, and will triple in about 11.63 days.

Step-by-step explanation:

The concept being addressed here is that of exponential growth, often relevant in studies of population dynamics. If a population grows at a rate of 28% per day, it will triple in less than 2 days (more precisely, 1.22 days) because each day the population multiplies by 1.28 (or increases by 28%).

For a population with a doubling time of 8 days, this corresponds to a daily growth rate of approximately 9.6%. This can be determined using the formula for exponential growth, where the growth rate is equal to (2^(1/doubling time) - 1)*100.

To find when this population will triple, we can use a similar approach. If we assume a growth factor of 3 (for tripling) and the doubling time of 8 days, then the tripling time would be about 11.63 days. This is calculated by taking the log base 2 of 3 and multiplying by the doubling time.

Learn more about Exponential Growth

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User Arnoud Buzing
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