Question

In the year 2000, the population of Mexico was about 100 million, and it's was growing by 1.53% per year. at this rate, the function f(x)=100(1.0153)^x gives the population, in millions, X years after 2000. Using this model, in what year would the population reach 109 million? Round your answer to the nearest year.
A.2007
B.523
C.2006
D.2004

Answer 1

109 = 100(1.0153)^x  

x = 5.68  

thus  

6 years after 2000  

so  

2006