Question

If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years and is the population growth modeled by a linear function or an exponential function?
A) 10,000; linear
B) 10,000; exponential
C) 27,000; linear
D) 27,000; exponential

Answer 1

@baru please help

Answer 2

initital population: 1000

can you calculate what the population is after 8 years ?

Answer 3

@BrownieCat

Answer 4

one sec

Answer 5

3000

Answer 6

@baru :)

Answer 7

ok, whats it after 8 more years?

Answer 8

d) because every 8 years it triples.
At Beginning - Population 1000
After 8 years- Population = 3 * 1000 = 3000
After another 8 years (16 years from biginning) - Population = 3 * 3000 = 9000
After another 8 years (24 years from biginning) - Population = 3 * 9000 = 27000

It is plain to see that the growth is exponential since in is P = 1000*3^(years/8)