SOLUTION: the number of bacteria is growing exponentially. if the number of bacteria rises from 200 to 350 in 4 hours . how many bacteria will there be after 1 day

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the number of bacteria is growing exponentially. if the number of bacteria rises from 200 to 350 in 4 hours . how many bacteria will there be after 1 day      Log On


   

Question 966326: the number of bacteria is growing exponentially. if the number of bacteria rises from 200 to 350 in 4 hours . how many bacteria will there be after 1 day
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
y=Ie%5E%28kt%29 as a general model.

Find k.
ln%28y%29=ln%28I%29%2Bln%28e%5E%28kt%29%29
ln%28y%29-ln%28I%29=kt
k=%281%2Ft%29ln%28y%2FI%29

The VALUE of k:
ln%2835%2F20%29%2F4
k=ln%287%2F4%29%2F4

Do the rest...