anonymous
  • anonymous
Under ideal conditions a certain bacteria population is known to double every 2 hours. Suppose there are initially 200 bacteria. What is the size of the population after t hours?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@Hero
wolf1728
  • wolf1728
Actually, after 6 hours population = 1,600
wolf1728
  • wolf1728
Yes, I was working on a formula to :-( Seems we lost Hero?

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More answers

anonymous
  • anonymous
i know the 6 hours already but i need the formula
anonymous
  • anonymous
it says its wrong
wolf1728
  • wolf1728
No because after 2 hours population = 200 * 2² = 400? But problem states population = 200
wolf1728
  • wolf1728
2 Hours Population = 200 * 2^0 4 Hours Population = 200 * 2^1 6 Hours Population = 200 * 2^2 8 Hours Population = 200 * 2^3
wolf1728
  • wolf1728
Population = 200 * 2^((t-2)/2) ???
anonymous
  • anonymous
no thats not it either
wolf1728
  • wolf1728
You're right muzz I thought this was going to be easy.
wolf1728
  • wolf1728
After 4 hours (4-2/2) = 2 Raising that to the power of 2 is 4 times 200 = 800 no
wolf1728
  • wolf1728
2 4 6 8 0 1 2 3 Population = 200 * 2^((t-2)/t) ???
wolf1728
  • wolf1728
No that doesn't work for 4
Hero
  • Hero
x|y 0|200 <200*2^0> 2|400 <200*2^1> 4|800 <200*2^2> 6|1600 <200*2^3>
Hero
  • Hero
200^(t/2)
wolf1728
  • wolf1728
2 4 6 8 0 1 2 3 No it can't be 200^(t/2)
anonymous
  • anonymous
thanks @Hero
anonymous
  • anonymous
Estimate the size of the population after 19 hours. i got 154,000. whats wrong
wolf1728
  • wolf1728
muzz you think 200^(t/2) is the answer?
wolf1728
  • wolf1728
I thhink that formula is wrong
Hero
  • Hero
It's right. I'm pretty sure @muzzammil.raza inputs his answers into some computer program that verifies the correct answer.
anonymous
  • anonymous
no the homework is online
anonymous
  • anonymous
it tells u if u r right or wrong. u have a week to finish it
anonymous
  • anonymous
Estimate the size of the population after 19 hours. i got 154,000. whats wrong
wolf1728
  • wolf1728
200 * 2^0 = 2 hours 200 * 2^1 = 4 hours 200 * 2^2 = 6 hours 200 * 2^3 = 8 hours Just have to figure out a formula for this.
Hero
  • Hero
That online homework that tells you if you are right or wrong is the computer program I'm referring to @muzzammil.raza
Hero
  • Hero
We already figured out the formula. x|y 0|200 <200*2^0> 2|400 <200*2^1> 4|800 <200*2^2> 6|1600 <200*2^3> 8|3200 < 200*2^4>
Hero
  • Hero
@wolf1728, his program verified that 200^(t/2) is correct.
wolf1728
  • wolf1728
200 * 2^(19/2) 200 * 2^9.5 Ppopulation after 19 hours = 200 * 724.077343935 = 144,815.468787005
anonymous
  • anonymous
thanks
wolf1728
  • wolf1728
200 ^ (t/2) is correct?? then after 8 hours population is 200^4?? =1,600,000,000 After 8 hours it is 1,600
Hero
  • Hero
yeah, it was 200*2^(t/2) sorry
Hero
  • Hero
This is clearly my biggest screw up of the day.
wolf1728
  • wolf1728
Yeah Hero I'm surprised at myself too. I thought I'd type a formula in a few seconds. LOL
Hero
  • Hero
Well, as long as we figured it out. I fried a few brain cells in the process for sure.
wolf1728
  • wolf1728
Well it is done !!! :-)
wolf1728
  • wolf1728
muzz is back - I sent you a message
wolf1728
  • wolf1728
And I just got the answer - okay !

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