SOLUTION: the number of the buffalo in a park are counted at the end of each year. Each year there are 4/3 times as many buffalo as there were the previous year. At the beginning of year 1 t

Algebra ->  Real-numbers -> SOLUTION: the number of the buffalo in a park are counted at the end of each year. Each year there are 4/3 times as many buffalo as there were the previous year. At the beginning of year 1 t      Log On


   

Question 1096186: the number of the buffalo in a park are counted at the end of each year. Each year there are 4/3 times as many buffalo as there were the previous year. At the beginning of year 1 there were 27 buffalo in the park. How many buffalo are in the park at the end of year 3?
A. 36
B. 81
C. 64
D. 48
Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


27%2A%284%2F3%29%5E3
27%2A%284%2F3%29%2A%284%2F3%29%2A%284%2F3%29
36%2A%284%2F3%29%2A%284%2F3%29
48%2A%284%2F3%29
64

There are 64 buffalo at the end of the 3rd year.

...or you could just do
27%2A%284%2F2%29%5E3+=+27%2A%2864%2F27%29+=+64
but I think that, for a better understanding of exponential growth, it is worthwhile to see how the population grows year by year.