Question

Write a function in terms of t that represents the situation.

A population of 100,000 decreases by 2% each year.

Answer 1

Explanation:

A 2% decrease each year means that the population at the end of a year is 98% of what it was at the start of the year. Apply this for t consecutive years and you get the relation

P(t) = Po (0.98)t

Po = 100,000

P(t) = 100,000 (0.98)t