120k views
1 vote
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

User LikerRr
by
8.2k points

1 Answer

4 votes

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

User Arnoud Buzing
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.