anonymous
  • anonymous
A bacteria culture initially contains 200 cells and grows at a rate proportional to its size. After 2 hours the population has increased to 270. Find an expression for the number of bacteria after t hours. P(t)=?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
(b) Find the number of bacteria after 7 hours. (c) Find the rate of growth after 7 hours. (d) When will the population reach 7000?
anonymous
  • anonymous
|dw:1332379730298:dw|
anonymous
  • anonymous
i need the equations without letters...so e=2.7 right? what is k?

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anonymous
  • anonymous
now you need to find k... at t = 2, P = 270 so... |dw:1332379915522:dw|
anonymous
  • anonymous
yes. k is like your rate... we need to find that in the previous post.
anonymous
  • anonymous
to get k, we need to solve the equation 270 = e^(2k)
anonymous
  • anonymous
|dw:1332380080480:dw|
anonymous
  • anonymous
u can use your calculator to get an approximation of k. so now you have all those letter.... just replace the letters with the values back into P(t) = Ce^(kt)
anonymous
  • anonymous
do you have a value for k?
anonymous
  • anonymous
hello?
anonymous
  • anonymous
hey sorry
anonymous
  • anonymous
k?
anonymous
  • anonymous
yea sorry
anonymous
  • anonymous
can you help me now

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