If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? is the population growth modeled by a linear function or an exponential function?

Present population: 1000

Population in 8 years: 1000 * 3 = 3000

Population in 16 years: 3000 * 3 = 9000

Population in 24 years: 9000 * 3 = 27,000

The population growth is modeled by an exponential function because the population grows by a higher factor than time. This is illustrated by the fact that as the number of years doubles (say from 8 years to 16 years), the population tripled from 3000 to 9000.

It is not the case in this example, but IF the population doubles as the number of years doubles, only THEN would the function be linear.

Let me know if you have any questions.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this