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In the month of September, a bird population increased by a factor of 1.25 every day for those 30 days. The function below shows the number of birds, f(x), after x days:

f(x) = 250(1.25)x

Which of the following is a reasonable domain for the function?
0 ≤ x ≤ 250
0 ≤ x ≤ 30
All positive integers greater than 100
All real numbers

Respuesta :

sqdancefan

Answer:

  0 ≤ x ≤ 30

Step-by-step explanation:

The problem statement tells you the relation holds for x up to 30 days.

_____

Exponential increase of the population beyond that time is unreasonable.

Using function concepts, it is found that a reasonable domain for the function is [tex]0 \leq x \leq 30[/tex].

  • The domain of a function is the set that contains all possible input values.
  • In this problem, the function models the bird population for the 30 days in September, thus, the function is only valid for these 30 days, which means that the reasonable domain is [tex]0 \leq x \leq 30[/tex], this is the number of days in September after the count started.

A similar problem is given at https://brainly.com/question/24822519

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