Question

The fish population in a certain lake rises and falls according to the formula F = 4000(26 + 12t − t²). Here F is the number of fish at time (t, where (t) is measured in years since January 1, 2002, when the fish population was first estimated.

What does the formula (F = 4000(26 + 12t − t²) represent?
A. The total number of fish in the lake.
B. The rate of change of fish population.
C. The initial fish population.
D. The number of fish at a specific time.

Answer 1

The formula F = 4000(26 + 12t − t²) represents the number of fish at a specific time (D), not the rate of change, initial population, or total number of fish in the lake.

Step-by-step explanation:

The formula F = 4000(26 + 12t − t²) represents the number of fish at a specific time in the fish population dynamics of a certain lake. This formula does not represent the rate of change of the fish population, the initial fish population, or in general terms, the total number of fish in the lake. Instead, it quantifies the number of fish (F) at a given time (t), with the specified time being measured in years since January 1, 2002.