Question

A culture of yeast doubles in size every four hours. If the yeast population is estimated to be three million now, what will it be one day from now? A. 96,000,000 B. 192,000,000 C. 259.000,000 D. 384,000,000

Answer 1

Answer: B. 192,000,000

Step-by-step explanation:

The exponential growth functions in time period x is given by :-

$f(x)=Ab^x$, where A is the initial amount , b is the growth factor.

Given: Growth factor : $b = 2$

Initial population : $A= 3,000,000$

Time period to double in size = 4 hours

The the total number of time period in a day : $\dfrac{24}{4}=6$

[∵A day = 24 hours]

Then , The population of yeast after 1 day ill be :-

$f(6)=3,000,000(2)^6=192,000,000$

Hence, the population of yeast after 1 day =192,000,000

Answer 2

It doubles every 4 hours, so after 24 hours there will be 6 doublings.
2^6 = 64
So, the population will be (3,000,000 * 64) or 192,000,000 in 24 hours.
The answer is B.