Question

The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 200. Write a function that gives the lion population size, P(t), t years from today. P(t)=

Answer 1

P(t) = 200·0.95^t

Explanation:

Explanation:

Each year, the population drops to 95% of its previous value. That is, the population is multiplied by 0.95 each year. Repeated multiplication is signified by an exponent. Here, that exponent is the number of years from today (t).

The population function can be written as ...

P(t) = 200·0.95^t

Answer 2

P(t) = 200·0.95^t

Explanation:

Each year, the population drops to 95% of its previous value. That is, the population is multiplied by 0.95 each year. Repeated multiplication is signified by an exponent. Here, that exponent is the number of years from today (t).

The population function can be written as ...

P(t) = 200·0.95^t