Question #3674

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

Expert's answer

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

A = A0 e^kt

Let's construct the system of equations

780 = 320 e

780*3 = 780 e

5k = ln(780/320)

k = 0.178

3 = e

t = ln 3 / 0.178 = 6.165 hours

## Comments

dena20.07.11, 18:38This is actually 6.712 and if you calculate out 80/13 - you get 6.15....just depends on how picky your professor is.

## Leave a comment