An artificial pond is stocked with an initial population of 2,500 fish. The engineers estimate a 24% decline in the fish population over time without restocking or effects of fishing. The following function models the population, where x is the number of years since the pond was made.

f(x) = 2,500(0.76)x



The mathematical range of the function is y > 0. Which statement describes how the reasonable range compares to the mathematical range?

The reasonable range has a minimum value of 2,500.
The reasonable range has a maximum value of 2,500.
The reasonable range has a reasonable minimum that cannot be determined.
The reasonable range has a reasonable maximum that cannot be determined.

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Answer:

B) the reasonable range has a maximum value of 2,500

Step-by-step explanation:

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The reasonable range has a maximum value of 2500.

What is mathematical range?

'The Range is the difference between the lowest and highest values.'

According to the given problem,

f(x) = 2500 × [tex]0.76^{x}[/tex]

Number of years = x

⇒ x ≥ 0

⇒ f(x) ≤ 2500 × [tex]0.76^{0}[/tex]

= 2500

Hence, we can conclude, the reasonable range has a maximum value of 2500.

Learn more about mathematical range here: https://brainly.com/question/16663832

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