SOLUTION: The population survey, Florida's location within the U.S. Liberty County is a county located in the state of Florida. As of the 2010 census, the population was 8,365, making it the

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The population survey, Florida's location within the U.S. Liberty County is a county located in the state of Florida. As of the 2010 census, the population was 8,365, making it the      Log On


   

Question 1175642: The population survey, Florida's location within the U.S. Liberty County is a county located in the state of Florida. As of the 2010 census, the population was 8,365, making it the least populous county in Florida. The population has been increasing at the rate about 2.48% per year. The function g(t) = 8,365 (1.0248)t can be used to model this growth over time, t, in years.
Part A: Where will be graph of the g(x) cross y-axis?

Part B: What does the y-intercept represent?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It crosses the y-axis when t=0 and the population is 8365, what it was in 2010 or t=0. Note, the function is 1.0248^t, not 1.0248*t, which would make it 0 population in 2010.
graph%28300%2C300%2C-5%2C20%2C-500%2C10000%2C8365%281.0248%29%5Ex%29