Question

A culture started with 6,000 bacteria. After 3 hours, It grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number.

Answer 1

what is \(7200\div 6000\) ?

Answer 2

N(t) = No exp(kt)

k t = ln[N(t)/No]

use known values at t=3 to get k
from which you can then substitute
t=19 and get answer.

Answer 3

oh it is not nearly that complicated
lets use only the numbers you see

Answer 4

\[7200\div 6000=\frac{6}{5}=1.2\] so you can use
\[6000\times (1.2)^{\frac{t}{3}}\] as a model

Answer 5

you want the value when \(t=19\) whip out a calculator and compute
\[6000\times (1.2)^{\frac{19}{3}}\]

Answer 6

What is the starting equation in your approach, @satellite73 ?