The game commission introduces 100 deer into newly acquired state game lands.The population N of the herd is modeled by $N = \frac { 24 ( 5 + 3 t ) } { 1 + 0.04 t } , t \geq 0$ where t is the time in years.Find the populations when t = 40.
(Round your answer to the nearest whole number. )

A)1,154 deer
B)1,306 deer
C)1,275 deer
D)1,240 deer
E)1,200 deer

Question

The game commission introduces 100 deer into newly acquired state game lands.The population N of the herd is modeled by​ $N = \frac { 24 ( 5 + 3 t ) } { 1 + 0.04 t } , t \geq 0$ ​ where t is the time in years.Find the populations when t = 40.
(Round your answer to the nearest whole number. )
​
A)1,154 deer
B)1,306 deer
C)1,275 deer
D)1,240 deer
E)1,200 deer

Quizplus · Accepted Answer

The population at t = 40 is 1,154 deer.$N = \frac { 24 ( 5 + 3 t ) } { 1 + 0.04 t } $$N = \frac { 24 ( 5 + 3 ( 40 ) ) } { 1 + 0.04 ( 40 ) } $$N = \frac { 24 ( 5 + 120 ) } { 1 + 1.6 } $$N = \frac { 24 ( 125 ) } { 2.6 } $$N = \frac { 3000 } { 2.6 } $$N = 1153.8461538461539 $$N \approx 1154$

The Game Commission Introduces 100 Deer into Newly Acquired State N=24(5+3t)1+0.04t,t≥0N = \frac { 24 ( 5 + 3 t ) } { 1 + 0.04 t } , t \geq 0N=1+0.04t24(5+3t)​,t≥0

The Game Commission Introduces 100 Deer into Newly Acquired State $N = \frac { 24 ( 5 + 3 t ) } { 1 + 0.04 t } , t \geq 0$