i Fill in the table below showing the gray squirrel populati

i. Fill in the table below showing the gray squirrel population for the corresponding ears after 2011. Gray Squirrel Years (after 2011) Population ii. Find the formula for the population of gray squirrels, so, where t represents the number of years after 2011. iii. Then find the population size in 2016 and in 2020 using S(). Round to the nearest whole number.

Solution

Intial population = 1500 ; decrease rate = 2 %

After n =0 yrs ; P = 1500

n =1 ; P = 1500( 1- 0.02) = 1470

n = 2; P = 1470( 1- 0.02) = 1440.6 = 1441

n = 3 ; P = 1440.6( 1- 0.02) = 1411.788 = 1412

S(t) = Po(1- r)^t = 1500(1-0.02)^t = 1500(0.98)^t

Population in 2016 ; n = 5 ; P = 1500(0.98)^5 = 1355.88 = 1356

Population in 2020 ; n = 9 ; P = 1500(0.98)^9 = 1250.62 = 1251