SOLUTION: At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000. Write an exponential function to model the population y of bacteria x hours after 2pm.
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-> SOLUTION: At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000. Write an exponential function to model the population y of bacteria x hours after 2pm.
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Question 267560: At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000. Write an exponential function to model the population y of bacteria x hours after 2pm.
Please help Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! At 2pm the number of bacteria in a colony was 100, by 4pm it was 4000.
Write an exponential function to model the population y of bacteria x hours after 2pm.
:
Ao*k^x = A
where
Ao is the initial amt
k = constant factor
x = time in hrs
A = resulting amt
;
Write an equation from the 1st statement, x = 2 hrs, find k
100 * k^2 = 4000
k^2 =
k^2 = 40
k =
k = 6.3246
:
The equation
y = 100(6.3246^x)
