The count in a bateria culture was initially 700, and after 35 minutes the population had increased to 1600.

Question

Find the doubling period. =

Find the population after 115 minutes.=

When will the population reach 10000? =

Answer 1

1600 = 700e^35k

2.2857 ≈ e^35k

ln 2.2857 ≈ 35k

0.8267 ≈ 35k

0.0236 ≈ k

2 ≈ e^0.0236t

ln 2 ≈ 0.0236t

0.6931 ≈ 0.0236t

29.37 ≈ t

A₁₅ = 700^0.0236(115)

10000= 700e^0.0236t