SOLUTION: a food is dropped on the floor and is growing bacteria exponentially according to the model y=2e^kt where t is time in seconds if there are 2 cells initially and 8 cells after 2

Question 607678: a food is dropped on the floor and is growing bacteria exponentially according to the model y=2e^kt where t is time in seconds
if there are 2 cells initially and 8 cells after 20 seconds, find the value of k for the bacteria and frind how much bacteria is on the food after 5 seconds
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
model y=2e^kt where t is time in seconds
if there are 2 cells initially and 8 cells after 20 seconds, find the value of k for the bacteria
:

divide both sides by 2

using natural logs
20k = ln(4)
20k = 1.3863
k =
k = .0693
:
find how much bacteria is on the food after 5 seconds
y =
y = 2.74 ~ 3 cells
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