Question

If N(0) = 30 and λ = 1.20, what is the population size for year one?

A) 25
B) 28.8
C) 30
D) 36

Answer 1

The population size for year one is approximately 100.

Step-by-step explanation:

To find the population size for year one, we can use the formula N = Noe^(λt), where N is the final population size,

No is the initial population size, λ is the growth rate, and t is the time in years.

In this case, N(0) = 30, λ = 1.20, and t = 1. Plugging these values into the formula, we get:

N(1) = 30 * e^(1.20 * 1) ≈ 30 * e^1.20 ≈ 30 * 3.320 = 99.6 ≈ 100

Therefore, the population size for year one is approximately 100. Hence, the correct answer is C) 30.