Question

The population of cityville increases exponentially. the population was 7500 in 199015,000 in 2000and 30000 in 2010. what will the population be in 20207

Answer 1

The population of Cityville in 2020 will be 60000, if the population increases exponentially.

According to the given question.

The population of Cityville in 1990 was 7500.

Population of Cityville in 2000 was 15000.

And the population of cityville in 2010 was 30000.

Also, the population of Cityville increasing exponentially.

So, let the function which represents the Population of Cityville increasing exponentially be $P = P_{o} b^{x}$

Where, P be the final population of Cityville in x years.

b be the growth factor

And, $P_{o}$ be the intial population.

So, according to the given condition.

Population in 1990 and 2000

$15000= 7500(b)^{10}$

⇒ $b^{10} = 2$

Therefore, the population in 2020 is given by

$P = 30000(b)^{10}$

⇒ P = 30000(2)      (because b^10 = 2)

⇒ P = 60000

Hence, the population of Cityville in 2020 will be 60000, if the population increases exponentially.

Find out more information about exponential function here:

https://brainly.com/question/9669102

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