# Math Help - growth constants...

1. ## growth constants...

if a bacteria culture starts with 6000 bacteria and doubles every 15
minutes how many minutes will it take to reach the population 49000 ?

12000= 6000e^k*15

divide by 6000 so then you have

2=e^k*15

ln2= lne^k*15
that cancels out and leaves you

ln2 =k*15 so you divide by 15

this is where i freeze up what do u plug it into next to get the 49000

so then its 49000/6000 =6000/6000 e^k*t

but what do i use for the k & t this time is it what the k only equals or the k and the time i first used

2. Hello,

Let T be the number of minutes necessary to reach 49000

$49000=6000 e^{kT}$

Do the same things as for getting k, but now to find T, not k