the bear population increases at a rate of 2% each year there are 1573 bears this year, what is the growth factor b
The population will increase BY 2% each year.
It will increase TO 102% of its previous value each year.
102% is your growth factor,
as a decimal this is \(\rm b=1.02\)
Hope that helps! :)
Answer:
Using the formula:
\(P = P_0(1+r)^t\)
where
\(P_0\) is the initial population
r is the rate in decimal
b = 1+r is the growth factor
t is the time in years.
As per the statement:
the bear population increases at a rate of 2% each year there are 1573 bears this year,
⇒\(P_0 = 1573\), r = 2% = 0.02
then;
\(P=1573(1+0.02)^t\)
⇒\(b = 1+r= 1+0.02 = 1.02\)
Therefore, the growth factor b is, 1.02