Population Logarthmic Growth Question

May 2010
3
0
I have a problem to do and I don't quite understand it. It's based off the population growth in China. It says that a researcher suggests that the population P, can be modeled by

P(t) = k/(1+Le^-Mt)

Where K, L, and M are parameters

It then says: use technology to estimate and interpret K, L, and M.

What I don't understand it what does it mean to use technology to estimate and interpret the parameters. What do the parameters mean?

Thanks for any help
 
Jan 2008
588
242
I have a problem to do and I don't quite understand it. It's based off the population growth in China. It says that a researcher suggests that the population P, can be modeled by

P(t) = k/(1+Le^-Mt)

Where K, L, and M are parameters

It then says: use technology to estimate and interpret K, L, and M.

What I don't understand it what does it mean to use technology to estimate and interpret the parameters. What do the parameters mean?

Thanks for any help
Use technology presumably means use the internet to find out the population, growth rate etc of china. You should probably graph population over time, as this is what the question is asking for.

Then, you can also use graphing programs to test the given equation against the graph.

Parameters are variables you change to affect the outcome. The idea is that you change the values of K, L, and M to fit a graph of china's population over time.
 
May 2010
3
0
Thanks. I did try to graph it, but I got something that looks almost linear. That's why I'm a little confused why there's a inverse logarthmic problem.
 
Jan 2008
588
242

CaptainBlack

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I have a problem to do and I don't quite understand it. It's based off the population growth in China. It says that a researcher suggests that the population P, can be modeled by

P(t) = k/(1+Le^-Mt)

Where K, L, and M are parameters

It then says: use technology to estimate and interpret K, L, and M.

What I don't understand it what does it mean to use technology to estimate and interpret the parameters. What do the parameters mean?

Thanks for any help
You need to use the population of China for at least three times then using a spread sheet or something similar find k,L and M so that the expression for the population fits the data.

k - is the population at time t

CB
 
May 2010
3
0
@Gusbob. Yeah, I should have said this before but the problem only gives a certain set of data. When I graphed the entire data table they gave us, I got something looking approximately linear.

@CaptainBlack. Wait I don't quite understand. How is K the population at time t. Isn't that P(t) ?