Question

a culture started with 2000 bacteria. after 2 hour , it grew to 2,400 bacteria. predict how many bacteria will be present after 10 hours. round your answer to the nearest whole number.
p=Ae^kt

Answer 1

For t = 0, A = 2000. So, the population function is:
\( p = 2000 e^{kt} \)
Plug in t = 2 to get this equation:
\(2400 = 2000e^{2k} \)
Solve for k. After that, plug in t = 10 and solve for p :-)

Answer 2

and then?

Answer 3

You will have your answer.

Answer 4

not yet! 1 moes step?

Answer 5

Rounding? That should be easy, no?

Answer 6

nope! i you help?

Answer 7

Huh? And, after you solve for k, k is just a constant. You will have something like: \[ P(t) = 2000e^{kt} \]Where you will know k. So, solve the equation: \[ P(t) = 2000e^{10k} \]with the k being known.

Answer 8

k=09115 is correct?

Answer 9

I will solve it, give me a min.

Answer 10

Got k = 0.0911607783969

Answer 11

nope i think wrong how come ?

Answer 12

2400 = 2000e^(2k)
24/20 = e^(2k)
ln(24/20) = 2k
k = (ln(24/20))/2 :-)

Answer 13

here : solve for k
: 2.400=2.000 e^k*2
1.2=e ^k*2
In(1.2)=In(e^k*2)
0.1823=k*2
and after this one at 10 hr t=10
i don't got this step!?

Answer 14

Ok, you are having rounding issues with your k. Do not round it. Afterwards:
P(10) = 2000e^(0.0911607783969*10)

Answer 15

so what is the end answer?

Answer 16

4977, somewhere near that.

Answer 17

how u got 0.0911....can you help me that step because i got problem with that that y i dont know?

Answer 18

You probably read wrong on your calculator. It should be 0.01823. You are on the right track.

Answer 19

no.. ur wrong

Answer 20

http://www.wolframalpha.com/input/?i=ln%2824%2F20%29%2F2

Answer 21

How much is 0.18 divided by 2? :-)