Chris is a researcher at the centers for disease control and prevention, and he is trying to understand the behavior of a new
and dangerous virus. he starts his experiment with 25 viruses that grow at a rate of 75% per hour. he will check on the
viruses in 12 hours. how many viruses will he find? round your answer to the nearest whole number.

Chris  will find 20625 viruses in 12 hours

Step-by-step explanation:

Geometric Progressions

The geometric progression can be understood as a sequence or ordered terms when the term n equals the previous term n-1 by a constant value called the common ratio

Recursively going back we find that

Being the first term of the sequence

Chris' experiment shows that viruses grow at a rate of 75% per hour. It means that we get the next generation of viruses as the previous by 1.75. This is the common ratio. We also know he starts his experiment with 25 viruses, this makes

We can now express the number of viruses as a function of the number of hours n:

We are required to compute the number of viruses found when n=12 hours:

the balance is found at the link

step-by-step explanation:

a = 11 : 4

b = 38

c = 1 for every 6