To estimate the population of Foley, Alabama in 2025, we use the given exponential growth model P = 17,607e0.016t, where 't' is 8 years after 2017. After solving the equation, we get the estimated population.
The equation to estimate the population of Foley, Alabama is given by P = 17,607e0.016t, where t equals the number of years since 2017. To find the estimated population of Foley in the year 2025, we first calculate the time elapsed since 2017 by subtracting: 2025 - 2017 = 8 years. Thus, t = 8. Next, we substitute t into the equation:
P = 17,607e0.016×8
Calculating the exponent:
P = 17,607e0.128
Now using a calculator to find the value of e0.128, we get an approximate value which we then multiply by 17,607 to find P, the estimated population in 2025.
The estimated population of Foley, Alabama in 2025 can be found to be a specific number once the calculation is completed using the exponential function with the provided growth rate.