Initially there are 150 bunnies in a certian area and after 15 months there are 300 bunnies. After another 15 months there are 600 bunnies. If this pattern continues, algebraically determine the exponential equation that models this situation, and use it to determine the bunny population after 5 years.
Help please :(
Midterm tomorrow!

Question

Initially there are 150 bunnies in a certian area and after 15 months there are 300 bunnies. After another 15 months there are 600 bunnies. If this pattern continues, algebraically determine the exponential equation that models this situation, and use it to determine the bunny population after 5 years.
Help please :(
Midterm tomorrow!

anonymous · Answer

every 15 months the number of bunnies seems to double.

anonymous · Answer

yes, but would you be able to tell an equation from the info?

anonymous · Answer

one moment.

anonymous · Answer

150 * (_)^(0,1,2,3,4).

that is not a weird face.  the answer to the equation is some number raised to the power of 0 for the first iteration, 1 for the second, 2 for the third and so on.

try it.    so for the first one 150 * (_)^(0) = 150

anonymous · Answer

150+300+600...+n
Use your knowledge on Series and Sequences.
$$T_{n}=ar^{n-1}$$
Where n is the number of bunnies
a is the amount of bunnies you started with
r is the common ratio.
Every 15 months the bunnies are multiplied by 2. 2 is the common ratio.

anonymous · Answer

How many months in 5 years?