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lapo4ka [179]
3 years ago
10

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

Mathematics
1 answer:
EastWind [94]3 years ago
8 0

Answer:

P(t) = 200\cdot 0.95^t

Step-by-step 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).

<h3>There fore, The population function can be written as ...</h3><h3 /><h3>  P(t) = 200·0.95^t</h3><h3>P(t) = 200\cdot 0.95^t</h3>
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