SOLUTION: You are studying a new breed of bacteria whose population grows exponentially following the model y= 80e^kt where t is the time in seconds. a) If the initial population is 80 ce

Algebra.Com
Question 867803: You are studying a new breed of bacteria whose population grows exponentially following the model y= 80e^kt where t is the time in seconds.
a) If the initial population is 80 cells and after 30 minutes there are 675 cells, determine the growth coefficient k.
b) How long will it take for the bacteria population to reach 6000 cells ?

Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
y= 80e^kt
Show the equation as .
Description suggests t will be in minutes.

Part (a):



-



Model is specifically .

RELATED QUESTIONS

a food is dropped on the floor and is growing bacteria exponentially according to the... (answered by ankor@dixie-net.com)
a population grows exponentially and doubles in size every 10 years. using P=Poe^kt,... (answered by lwsshak3)
A bacteria culture is started with 100 bacteria. After 7 hours, the population has grown... (answered by Edwin McCravy,greenestamps)
Please help w/ the following exponential function: The number of bacteria present in a... (answered by stanbon)
The population P of a city grows exponentially according to the function p(t) =... (answered by mathispowerful)
The population of a city grows exponentially according to the following relation: P=... (answered by math_tutor2020)
A bacteria culture initially contains 2000 bacteria and doubles every half hour. The... (answered by nerdybill)
The number of bacteria N in a culture is given by the model N=250e^kt Where t is... (answered by scott8148)
Escherichia coli bacteria normally live in the intestines of healthy people suppose that... (answered by josmiceli)