SOLUTION: A breeding pair of rats produced 12 baby rats (6 female and 6 male) in January. There were 14 rats at that time. In February, each female-male pair of rats again bred 12 baby ra

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A breeding pair of rats produced 12 baby rats (6 female and 6 male) in January. There were 14 rats at that time. In February, each female-male pair of rats again bred 12 baby ra      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 252496: A breeding pair of rats produced 12 baby rats (6 female
and 6 male) in January. There were 14 rats at that time.
In February, each female-male pair of rats again bred
12 baby rats. The total number of rats was then 98. In
this way, each month, the parents, their children, their
grandchildren, and so forth, breed 12 baby rats each. How
many rats would there be at the end of one year?

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
WHat we have is an exponential growth function:
R = 2(7)^n, where n is the number of months >=0.
n = 0 - -> R = 2(7)^0 = 2
n = 1 - -> R = 2(7)^1 = 14
n = 2 - -> R = 2(7)^2 = 98
. . .
n = 12 - -> R = 2(7)^12 = 27,682,574,402.