Question

A population numbers 20,000 organisms initially and decreases by 7.9% each year.

Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = ab^t , where

P=

Answer 1

P = 20000·0.921^t

Explanation:

In the exponential model given, "a" is the initial value, 20000, and "b" is the year-to-year multiplier, or growth factor. It is 100% - 7.9% = 92.1% = 0.921. So, your exponential model can be written ...

P = 20000·0.921^t