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  • For a population growing exponentially with a growth rate r, its population doubling time is  Option: 1 (No

For a population growing exponentially with a growth rate r, its population doubling time is

 

Option: 1

(No × 2)/r


Option: 2

In 2/r


Option: 3

λIn 2


Option: 4

In r × 2


Answers (1)

best_answer

For a population growing exponentially with a growth rate of r, the population doubling time can be calculated using the formula:

Doubling Time (T) = ln(2) / r

The natural logarithm of 2 (ln(2)) is approximately 0.693. Therefore, the formula simplifies to:

Doubling Time (T) ≈ 0.693 / r

This means that the population doubling time is approximately equal to 0.693 divided by the growth rate (r).

So, the statement "In 2/r" correctly represents the population doubling time for a population growing exponentially with a growth rate of r.

 

Posted by

Suraj Bhandari

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