find the equation?

Question

According to 2010 census data, Houston, Texas, is the fourth-largest city in the United States. In 2011, its population was 2,145,000. an increase of 2.2% compared to the previous year.

1, Assuming that Houston's population continues to grow at a rate of 2.2% per year, write the equation of a function f(x) that can be used to model Houston's population in millions, where x is the number of years since 2011.

2, What is the y-intercept of the function? What does the y-intercept represent in this situation?

Answer 1

y = 2.145 million * (1.022)^x <---- 2.2% = 0.022; an INCREASE of that percentage is 102.2% = 1.022

f(0) = 2.145 million is the initial poplation is 2011 where x= YEar - 2011