As of October​ 2009, the​ world's population is estimated to be 6.8 billion people and the population growth rate is about 0.07 billion people per year. Because the availability of resources is an issue as the population​ grows, scientists are attempting to compute the maximum population the Earth can support. Assuming the growth rate remains​ accurate, by which year would the world population hit 9.59.5 billion​ people? Use an algebraic model to compute the answer.

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The year will be [tex]2009 + 38 + \frac{4}{7} = 2047 + \frac{4}{7}[/tex].

Step-by-step explanation:

As per October 2009, the world's estimated population is 6.8 billion.

The population growth rate is 0.07 billion per year.

Hence, in x year, the population will increase 0.07x billion.

We need to find the time, after which the population will be 9.5 billion.

If we take x as the number of year that will be required, then we can represent it as

[tex]6.8 + 0.07x = 9.5\\0.07x = 2.7\\x = 38 + \frac{4}{7}[/tex].

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