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)

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]

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fatimakincsem fatimakincsem · Answer 2 · 2019-03-03T02:50:40+01:00

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