the population of mastertown was 23,000 in 2012. assume that mastertowns population increases at a rate of 2% per year. write an

Question

mr_godi [17]

1 year ago

4

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)

Mathematics

2 answers:

Bond [772] · Answer 1 · 2020-09-29T19:09:17+03:00

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)

<span>Population = starting population 2012 * 0.02^[(year - 2012) - 1]</span>

denis-greek [22] · Answer 2 · 2020-09-29T21:13:15+03:00

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