QUESTION 14
The game commission introduces 100 deer into newly acquired state game lands. The population N of the herd is modeled by
where t is the time in years. Find the populations when t=40. (Round your answer to the nearest whole number.)
1,442 deer
1,632 deer
1,594 deer
1,550 deer
1,500 deer
To find the population of the deer herd when t = 40, we need to substitute t = 40 into the given model and solve for N.
The given population model is N = 100(1.1)^(t/10).
So, substituting t = 40 into the model, we have:
N = 100(1.1)^(40/10)
N = 100(1.1)^4
N ≈ 100(1.4641)
N ≈ 146.41
Rounding the answer to the nearest whole number, the population when t = 40 is approximately 146 deer.
Therefore, the correct answer is not listed among the options given.