If a bacterial culture starts with 7000 bacteria and doubles every 15 minutes, how many minutes will it take the population to reach 52000?

Answer 1

14000 in 15

28000 in 30

56000 in 45 minutes

52000 in a little less than 45 minutes

2=e^15r

15r=ln2

r=(ln2)/15

A=Pe^(tln2/15)

52=7e^(tln2/15)

ln(52/7)=(tln2)/15

t=15(ln(52/7)/ln2

t=43.4 minutes

= 43 minutes 24 seconds

to reacn 52,000, starting at 7,000