In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year. At this growth 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 111 million? Round your answer to the nearest year.

The population reach 111 million in 2007.

Step-by-step explanation:

In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year.

At this growth rate, the function gives the population, in millions, x years after 2000.

Put f(x)=111 million.

Then,

Taking log on both the sides , we get

Hence, the population reach 111 million in 2007 (approx).