the population of a town is 6,000 and is increasing at a rate of 3% each year. write an exponential function that can be used to find the population after x years. complete the equation y=
To find the exponential function that represents the population growth, we first need to determine the growth factor. The growth factor is equal to 1 plus the growth rate expressed as a decimal. In this case, the growth rate is 3% or 0.03.
The growth factor (g) is given by: g = 1 + growth rate = 1 + 0.03 = 1.03
Therefore, the exponential function that represents the population growth is: y = a * (1.03)^x
The initial population (a) is given as 6,000.
So the complete equation is: y = 6,000 * (1.03)^x