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.
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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 = 0Quote:
Originally Posted by cheer4life1694
$\displaystyle 38400 = Ae^{6k}$
$\displaystyle 600 = Ae^{2k}$
divide the first equation by the second ...
$\displaystyle 64 = e^{4k}$
solve for k, then go back to either equation and determine A.
