Question

a culture contains 1500 bacteria initially and doubles every 30 mins. a) find a function that models the number of bacteria at time t. b) find the number of bacteria after 2 hours. c) after how much time will there be 4000 bacteria

Answer 1

f(x)= 1500 + 30t
f(4)= 1500+30(4)=1620
4000=1500+30t= 250/3

Answer 2

That's not correct

Answer 3

Why?

Answer 4

f(x)=1500*2^(2t) where t is a value in hours and 30 min=0.5 hours
f(2)=1500*16=24000

4000=1500*2^(2t)
8/3=2^(2t)
ln 8/3=2t ln 2
(ln 8/3)/(2 ln 2)= t
t=0.708

Answer 5

That's if you have 1500 bacteria and you have another 30 bacteria every hour

Answer 6

DNA's answer is correct

Answer 7

oh i see