# Thread: Exponential Growth and rates

1. ## Exponential Growth and rates

Ok, my problem is: Say we start with 1000 birds. Let B represent the bird population, and t = time in days. After 10 days the population is growing at a rate of 20 birds per day. Find B(t).

Now, can I assume that B(0) = 1000? If thats the case, and we are using P(t) = Ce^(kt), then C is 1000? Is this the correct thinking? I'm not really sure how to solve this problem. Help is much appreciated!

$B(t) = 1000e^{kt}$
This means at $t=10 \implies B'(10) = 20$