At the beginning of 1950 the population of a city was 3100 thousand people. Due to tax incentives the city's population increased exponentially by 23% every decade (10 years) after the beginning of 1950.

1. What is the 1-decade (or 10-year) growth factor for the population of the city?

2. Define a function ff that determines the population of the city (in thousands of people) in terms of the number of decades dd since the beginning of 1950.

   f(d)=

3. What is the 1-year growth factor for the population of the city?

4. Write a function gg that determines the population of the city (in thousands of people) in terms of the number of years tt since the beginning of 1950.

   g(t)=