suppose that a population has a growth rate of r per member in unit time, with r> 0.

show that the time required for the population to double its initial size (called the doubling time) is (log2)/r.

Hello there!

A model to see the growth of a certain population is the exponential model.

If the initial population is P, then the model can be written as

Where t is the time, and r is growth rate.

and f(0) = P

Then we want to know the time needed for the initial population to be doubled, this is f(x) = 2P, where x is the time that we want to find.

then

then x= ln(2)/r

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0