Question

Plis!

Initially, 40 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 11 hours.
How can this information be interpreted?
Select True or False for each statement.

Answer 1

Both statements are true.

Explanation:

(a) The general equation for tripling time of a population is

`n(t)=n0*3^{((t)/(a)) }`, where n0 is the initial population size, t is the time, and a is the doubling time. Since the first part states that n0 = 40 and a = 11, the equation is accurate

(b) We use the first equation and plug in 4 for t and check to see if it's accurate:

`n(t) = 40*3^(11/4)\\ n(t)=59.642`

The population is indeed approximately 60 after 4 hours.