Answer: Exponential function: ![y=12000(1.05)^x](https://tex.z-dn.net/?f=y%3D12000%281.05%29%5Ex)
Step-by-step explanation:
Exponential function:
, a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
![y=12000(1.05)^x](https://tex.z-dn.net/?f=y%3D12000%281.05%29%5Ex)
Hence, The required exponential function:
, where x= time.