Answer to Question #3674 in Algebra for tami

Question

A culture of bacteria grew from 320 to 780 in 5 hours. If this growth continues at this rate then how long will it take the population to triple

Answer 1

Bacteria culture grows according the law:
A = A0 e^kt
Let's construct the system of equations
780 = 320 e ^5k
780*3 = 780 e^kt

5k = ln(780/320)
k = 0.178

3 = e ^{0.178 t}
t = ln 3 / 0.178 = 6.165 hours