Verified Answer :

Zepdrix

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

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