The populations P (in thousands) of Las Vegas, Nevada from 1990 to 2004 can be modeled by the following where t is the year, with t = 0 corresponding to 1990. In 2000, the population was approximately 478,000.
P = 258.0e^kt
(a) Find the value of k for the model. Round your result to four decimal places.

Question

The populations P (in thousands) of Las Vegas, Nevada from 1990 to 2004 can be modeled by the following where t is the year, with t = 0 corresponding to 1990. In 2000, the population was approximately 478,000. 
P = 258.0e^kt
(a) Find the value of k for the model. Round your result to four decimal places.

anonymous · Answer

Help please!

anonymous · Answer

$$P = 258e^{kt}$$

And we know that when t = 10 (in 2000), P = 478000 . Use logs and you should be able to do it.

anonymous · Answer

thanks!

anonymous · Answer

Well i solved it but the answer I got which was .7524 is being marked incorrect. I may be doing something wrong.

anonymous · Answer

Oh, sorry, you need to use 478000 as 478 (and the formula gives it in thousands) - or use 258000