Question

The populations P (in thousands) of a certain city from 2000 through 2007 can be modeled by
P = 343.8e^(k*t),
where t represents the year, with t = 0 corresponding to 2000. In 2004, the population of the city was about 392,000.

(a) Find the value of k. (Round your answer to five decimal places.)

Answer 1

I tried to solve for k and I come up with k = 1.75974. Looks like I did something wrong, though. Can someone help me find out where that was?

Answer 2

hi moonlit. question: what did you do to solve for k?

Answer 3

Gimme a second and I'll type it all out? ^^

Answer 4

k

Answer 5

\[392000 = 343.8e ^{k4} \]

\[\frac{ 392000 }{ 343.8 } = e ^{4k}\]
\[1140.1978 = e ^{4k}\]
\[\ln 1140.1978 = 4k\]
\[\frac{\ln 1140.1978}{ 4 } = k\]
\[k \approx 1.75974\]

Answer 6

your process is absolutely right. :)

Answer 7

For some reason, it's not correct. It doesn't make sense at all. o:

Answer 8

what is the given answer?

Answer 9

I haven't been given the answer, it's just marked wrong. And only have one more shot at it.

Answer 10

are you sure you copied it correctly?

Answer 11

Problem is in the attachment

Answer 12

i would talk to your teacher because the answer is correct.

Answer 13

incidentally, i am a california credentialed math teacher. :)

Answer 14

i could be wrong. it has happened before. but your process and numbers match mine exactly.

Answer 15

their sig figs could be different. I have found that computer generated problems can sometimes be wrong.

Answer 16

Hm, I'll try e-mailing my professor and taking a screen capture of what I did to solve for k. It's just odd.

Answer 17

i would do that first. ask if the process is correct?

Answer 18

it is odd. try your professor. see if you can get more info. :) your solution is correct. looked at it 3 times now.