can you answer this question please?

Question

A culture of bacteria originally numbers 250. after 3 hours there are 900 bacteria present. assuming exponential growth how long will it take until 10,000 bacteria are present?

Answer 1

A = a₀e^kt

900 = 250e^3k

3.6 = e^3k

ln 3.6 = 3k

1.280 ≈ 3k

0.427 ≈ k

 

10000 = 900e^0.427t

11.111 ≈ e^0.427t

ln 11.111 ≈ e^0.427t

2.40 ≈ 0.427t

5.639 ≈ t