Question

The initial population is 81. The population triples every 8 years.
What is the yearly growth factor?
What is the yearly growth rate?

Answer 1

\[\sqrt[8]{3}\] which is about 1.1472
then the yearly growth rate is 114.72% or 14.72% increase every year

Answer 2

how do you get the rate though? I don't understsnd that

Answer 3

if the yearly growth rate is x, then every second year the population is (1+x) of last year.
since the rate stays constant, we can say that :
\[(1+x)^{8} = 3\]
thus\[1+x=\sqrt[8]{3}\]