find exponential formula for number of snakes per sq mile

[RicanGurl]

In 1940, there were about 10 brown tree snakes per square mile on the island of Guam, and in 2002, there were about 20,000 per square mile. Find an exponential formula for the number, N, of brown tree snakes per square mile on Guam t years, after 1940. What was, on average, the annual percent increase in the population during this period?

I came up with N= 10(1.13)t
13%/year

let me know if I'm wrong

 

[galactus]

Re: Need help on Pre-Calc problem

Yep, that looks good. Except, I think you mean 10(1.13)^t, not (1.13)t.

You can also write it as \(\displaystyle 10\cdot 2000^{\frac{t}{62}}=10(2000^{\frac{1}{62}})^{t}\)

Or \(\displaystyle P=10e^{\frac{ln(2000)t}{62}}\)

All the same thing.

Just a suggestion. You do what you want, but I would write it in exact format instead of decimals.

For instance, our k is \(\displaystyle k=\frac{ln(2000)}{62}\) instead of .12259520096..............

k is your increase. Which amounts to about 12.2%