Population A starts with 100 rabbits and grows at 10 percent per year.Population B starts with 100 rabbits and grows at 15 percent per year.Which shows the total number of individuals in each population after three years?
A) Population A = 103; Population B = 103
B) Population A = 110; Population B = 115
C) Population A = 130; Population B = 145
D) Population A = 133; Population B = 152
E) Population A = 146; Population B = 175

Question

Quizplus · Accepted Answer

For population A after 3 years we have:

Population A = 100 * (1 + 0.10)^3 = 100 * 1.1^3 = 133.1 ≈ 133

For population B after 3 years we have:

Population B = 100 * (1 + 0.15)^3 = 100 * 1.15^3 = 151.9 ≈ 152

Therefore, the correct answer is D: Population A = 133; Population B = 152.

Population a Starts with 100 Rabbits and Grows at 10