Bacteria population formula reach 1 million?

  • Thread starter ImStuck1
  • Start date
  • #1
ImStuck1
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Homework Statement


dP/dt = (3000)/(1+0.25t)
This gives the rate population changes at
We also know P is 1000 when t is 0 (days)

The Attempt at a Solution


The anti derivative
12 000 x Ln(1 + 0.25t) + c
Do I just make this equation equal to one million?
 

Answers and Replies

  • #2
kushan
256
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what is the question asking for?
 
  • #3
ImStuck1
15
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the question says the bacteria will overrun the world if its population reaches one million. Its asking if the bacteria will reach that amount
 
  • #4
kushan
256
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you can find out integration constant (c) , by plugging in the the value of bacterias given at t=0 .
 
  • #5
ImStuck1
15
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So c is 3000
 
  • #6
kushan
256
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Then find out what the question is asking for using c .
 
  • #7
ImStuck1
15
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So make the equation equal to one million and solve?
 
  • #8
kushan
256
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yes sir :)
 
  • #9
ImStuck1
15
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Thank you!
 
  • #10
ehild
Homework Helper
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So c is 3000

No, P=12 000 x Ln(1 + 0.25t) + c=1000 at t=0. What is the correct value of c?

ehild
 
  • #11
ImStuck1
15
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1000?
 
  • #12
ehild
Homework Helper
15,543
1,915

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