college alg math

Question

Solve the problem.

The size P of a small herbivore population at time t (in years) obeys the function P(t) = 900e0.17t if they have enough food and the predator population stays constant. After how many years will the population reach 2700?

Answer 1

2700 = 900e^0.17t

300 = e^0.17t

ln 300 = 0.17t ln e

5.70≈ 0.17t

33.55 ≈ t