Question

The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.

Write a function that gives the lion population size, P(t)P(t)P, left parenthesis, t, right parenthesis, ttt years from today.

Answer 1

200 x 0.95(t)

Explanation:

Answer 2

`P(t) = 200\cdot 0.95^t`

Explanation:

The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.

Write a function that gives the lion population size,

Each year, the population drops to 95% of its previous value. (100 - 5)%

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).

There fore, The population function can be written as ...

P(t) = 200·0.95^t

`P(t) = 200\cdot 0.95^t`