# The function #f(t)=5(4)^t# represents the number of frogs in a pond after #t# years. What is the yearly percent change? the approximate monthly percent change?

##### 1 Answer

Feb 5, 2017

Yearly change: 300%

Approx monthly: 12.2%

#### Explanation:

For

This can be expressed as

We can then calculate this as an equivalent **compounded** monthly change,

Because:

#(1+ Delta M)^(12) f_i= (1 + Delta P) f_i# ,

then

#Delta M = (1+ Delta P)^(1/12) - 1 approx 12.2\% #