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oreilly.vincent

  • 2 years ago

if a bacteria population triples every three hours, how long will it take a population of 20 colonies to grow to 1,000?

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  1. oreilly.vincent
    • 2 years ago
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    I'm going over practice problems during break and I am stumped on this one. Forgot how to do exponential...The answer in my book says 10.683 hours.

  2. xkylex
    • 2 years ago
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    Thank god its practice, il still try to figure it out

  3. oreilly.vincent
    • 2 years ago
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    yeah i know! but out of everything I am reviewing I am totally missing something here...I'm pretty sure I need to find the rate and then just plug that into the log.

  4. xkylex
    • 2 years ago
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    yeah

  5. LogicalApple
    • 2 years ago
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    Are you familiar with the exponential growth equation \[N = N _{0} e ^{kt}\]

  6. oreilly.vincent
    • 2 years ago
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    yes

  7. LogicalApple
    • 2 years ago
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    Well, we know N0 is the initial population. N0 = 20. This corresponds to time t = 0. We also know that the population, N, triples every three hours. Thus when t = 3, N = 60. Plug these numbers in and solve for k. Then you will have a general equation.

  8. oreilly.vincent
    • 2 years ago
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    awwwwwwww, yes! thank you. i have been refreshed.

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