A town’s population increases at a constant rate. in 2010 the population was 55,000 . by 2012 the population had increased to 80,000 . if this trend continues, predict the population in 2016.

Respuesta :

The predicted population in 2016 following the constant rate of population increase will be 1,30,000.

We have,

A town’s population increases at a constant rate,

And,

The population of town in 2010 = 55,000

And,

The population of town in 2012 = 80,000

So,

Now,

The total increase in the population of the town from 2010 to 2012 = 80,000 - 55,000 = 25,000

Now,

According to the question,

Population increases at a constant rate,

i.e.

Rate of Population increases from 2010 to 2012 = [tex]\frac{25000}{2}[/tex] = 12,500

So,

Now,

The population in 2016 after 2012 = 80,000 + 4 × 12,500

i.e.

On solving we get,

The population in 2016 after 2012 = 1,30,000

Hence we can say that the predicted population in 2016 following the constant rate of population increase will be 1,30,000.

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