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

Question

Mathematics

Hudson Orozco

12 March, 10:30

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

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Bishop · Answer 1

Exponential growth is

F=P (1+r) ^t

F=future amount

P=present amount

r=rate

t=time in years

rate=2%=0.02

therefor the equation is

f (x) = 23,000 (1+0.02) ^x

f (x) = 23,000 (1.02) ^x

where x=time in years from 2012