Question

Bacteria triple every 2 hours, How long does it take the bacteria population to quadruple?

Answer 1

Is there a starting population for the bacteria?

Answer 2

Don't need starting population.

Answer 3

dN/dt = k N

dN/N = k t

N = No exp(k t)

N/No = exp(k t)

N/No = 3 = exp( 2 k)

2 k = ln (3) = 1.10

k = 0.55

4 = exp (0.55 t)

ln (4) = 0.55 t

t = 2.52

Check this to make sure I got it right and you know how it's done.

Answer 4

Population = n * (sq root (3)^hours)
After 2 hours population = n * 1.732^2
= 3

Answer 5

To quadruple,
4 = sqrt(3)^x
log (4) = x * log(sqrt(3)
x = log (4) / log (sqrt(3))
x = 0.6020599913 / 0.239
x = 2.52 hours

Answer 6

We agree.

Answer 7

Yes, we got the same answer

Answer 8

what's the sqrt for?

Answer 9

Essentially, you worked with 2^(a t) and I worked with e^(k t), and these can be made equivalent.

Answer 10

why do you have to sqrt 3?