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Country a has a growth rate of 4.7​% per year. the population is currently 4 comma 671​,000, and the land area of country a is 10​,000,000,000 square yards. assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

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For this case we have a function of the form:


image

Where,

A: initial population

b: growth rate

x: time in years

Substituting values we have:


image

By the time there is one person for each square yard of land we have:


image

From here, we clear x.

We have then:


image

Answer:

There will be one person for every square yard of land after:


x = 167 years

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