An exponential function is modeled using the equation:
where P(t) is the population after t years, a is the initial population, r is the growth rate in decimals, t is the number of years, and n is the number of periods in one cycle.
From the given information, we have the following parameters:
Therefore, the population after 8 years can be calculated by substituting into the formula and solving for P(t) as follows:
A=3B 4.35A+5.40B=780.95 Substitute 3B into A for the second equation: 4.35(3B)+5.40B=780.90 13.05B+5.40B=780.90 18.45B=780.90 B=42.33 Plug into equation 1: A=3B A=3(42.33) A=126.98