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

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Mathematics

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15 May, 09:07

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

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Answers (1)

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Immanuel Wilcox · Answer 1

111=100 (1.0153) ^x

Solve for x

X=log (111:100) : log (1.0153)

X=6.9years round the answer

X=7 years

So in what year

2000+7=2007

In the year 2007