# Math Help - More Exponential Models

1. ## More Exponential Models

The count in a culture of bacteria was 600 after 2 hours and 38,400 after 6 hours. Find a function that models the number of bacteria n (t) after t hours.

2. Originally Posted by cheer4life1694
The count in a culture of bacteria was 600 after 2 hours and 38,400 after 6 hours. Find a function that models the number of bacteria n (t) after t hours.
let A = number of bacteria at t = 0

$38400 = Ae^{6k}$

$600 = Ae^{2k}$

divide the first equation by the second ...

$64 = e^{4k}$

solve for k, then go back to either equation and determine A.