Bacteria population formula reach 1 million?

[ImStuck1]

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?

 

[kushan]

what is the question asking for?

 

[ImStuck1]

the question says the bacteria will overrun the world if its population reaches one million. Its asking if the bacteria will reach that amount

 

[kushan]

you can find out integration constant (c) , by plugging in the the value of bacterias given at t=0 .

 

[ImStuck1]

So c is 3000

 

[kushan]

Then find out what the question is asking for using c .

 

[ImStuck1]

So make the equation equal to one million and solve?

 

[kushan]

yes sir :)

 

[ImStuck1]

Thank you!

 

[ehild]

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

 

[ImStuck1]

1000?

 

[ehild]

1000?

Yes.

ehild