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Under ideal conditions, the population of a certain species doubles every nine years. If the population starts
with 100 individuals, which of the following expressions would give the population of the species t years
after the start, assuming that the population is living under ideal conditions?
A. 2 x 100⁹t
B. 2 × 100
O 100 x 2⁹t
100 × 27
11
4

Question Under ideal conditions the population of a certain species doubles every nine years If the population starts with 100 individuals which of the followin class=


Answer :

The exponential function that would give the population after t years is given by:

[tex]P(t) = 100 \times 2^{\frac{t}{9}}[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^{\frac{x}{n}}[/tex]

In which:

  • a is the initial value.
  • b is the rate of change.
  • n is the period for the change.

Considering that the population starts with 100 individuals and doubles every 9 years, the parameters are given as follows:

a = 100, b = 2, n = 9.

Hence the function is given by:

[tex]P(t) = 100 \times 2^{\frac{t}{9}}[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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