Answer: The graph is represented below.
Step-by-step explanation:
Here, the population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%.
Therefore, Initial population, P = 382,627
Annual Rate of growth, r= 2.78 %
⇒ After x years the population will be,
![f(x)=382627(1+2.78/100)^x](https://tex.z-dn.net/?f=f%28x%29%3D382627%281%2B2.78%2F100%29%5Ex)
![f(x)= 382627(1+0.0278)^x](https://tex.z-dn.net/?f=f%28x%29%3D%20382627%281%2B0.0278%29%5Ex)
![f(x)= 382627(1.0278)^x](https://tex.z-dn.net/?f=f%28x%29%3D%20382627%281.0278%29%5Ex)
Where 1.027 is the growth factor and y-intercept= (0,382627)
And, The population in 2025, x=8
=476479.828188≈476480 (approx)
Therefore point that represents projected population in 2025 is ( 8, 476479.828188)