Question

Compare the two functions described below.

Function 1: Originally there were 40 people living at Schondel City. The city’s population is growing and the amount of people living in the city triples daily!

Function 2: y = 15 • 0.8x

Answer 1

Function 1: y = 40 * 3x
Function 2: y = 15 * 0.8x

Function 1 is tripling each day, while Function 2 is decreasing by .8 each day.

Answer 2

Explanation:

Function 1:

When originaly there were 40 people living at Schondel city, the function for population would be

`P=P_0 a^x` where x is the number of years

Here we have

`P_0 =40\\a=3\\P=40(3^x)`

Function 2:

Here function is given as

`P=15(0.8)^x`

Hence initial population is 15 and population is becoming extinct by 20% every year