Question

The population of a species in a preserve is 800. The population is expected to decrease at a rate of 2% each year.

What function equation represents the population of the species after t years?

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Answer 1

P(t) = 800 * 0.98^t

Explanation:

If the population of a species in a preserve is 800, and it is expected to decrease at a rate of 2% each year, we can use the exponential decay model to represent the population after t years:

P(t) = P (1 - r)^t

P = initial population (800 in this case)

r = decay rate (2% or 0.02 as a decimal)

t = time

Substituting the given values into the formula, we get:

P(t) = 800 * (1 - 0.02)^t

P(t) = 800 * 0.98^t

So, the equation is P(t) = 800 * 0.98^t