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…

Question

asked Dec 6, 2021 178k views

2 Answers

Usagi · Answer 1 · 2021-12-12T09:39:15+0000

Answer:

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

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).