The game commission introduces 100 deer into newly acquired

The game commission introduces 100 deer into newly acquired state game lands. The population N of the herd is modeled by N = 30(5 + 3t)/1 + 0.04t, t 0 where t is the time in years. Find the populations when t = 40. (Round your answer to the nearest whole number.)

Solution

N = 30(5 +3t)/( 1+0.04t)

To find populations when t=40 .Plug t=40 in N(t)

N = 30( 5+3*40)/( 1+0.04*40)

=30*125/( 2.6)

= 1442.30

= 1442 deers

Option A