Question

the population of mastertown was 23,000 in 2012. assume that mastertowns population increases at a rate of 2% per year. write an equation to model the population of mastertown (y) based on numbers of years since 2012 (x)

Answer 1

The population of mastertown is 23,000 in 2012.
Assume that the increase of the population has a rate of 2% increase annually. Writing an equation model will help us find the number of population in the coming years. Here is the equation model using the geometric sequence formula.

An = A1 * r^(n-1)

Population = starting population 2012 * 0.02^[(year - 2012) - 1]

Answer 2

Answer:  y = 23000 (1 + 0.02)^x

Step by step solution:

Population of mastertown was 23,000 in 2012

mastertowns population increases at a rate of 2% per year

By using the following equation :

y= a(1+r)^n

a= initial amount  

n = the number of years  

r= growth rate

Keeping the above statement in mind -> Population of mastertown (y) based on numbers of years since 2012 (x)

a = 23000

An increase by 2%  

r = 2/100 = 0.02

So the final equation would be :

y = 23000 (1 + 0.02)^x