The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 21000. Find a function that models the population t years after 2000 (t=0 for 2000). ?

1 Answer
Jun 23, 2018

Function model is #P_y=21000*1.07^((y-2000))#

Explanation:

Function model #P_y=P_2000(1+r/100)^(y-2000)#, where #P_y#

is the population required in the year, r is the growth rate,

#y# is the year , asked for. # r=7/100=0.07, P_2000=21000#

Therefore function model is #P_y=21000*1.07^((y-2000))#

Example: #y=2010 ; P_2010=21000*1.07^10~~ 41310# [Ans]