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A town’s population increases at a constant rate. In 2010 the population was 56,000 . By 2012 the population had increased to 81,000 . If this trend continues, predict the population in 2016. The population will be Number in 2016.

A towns population increases at a constant rate In 2010 the population was 56000 By 2012 the population had increased to 81000 If this trend continues predict t class=

Respuesta :

Given: A town's population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000.

Required: To predict the population in 2016.

Explanation: The population is increasing at a constant rate. In 2 years, the increase in population is-

[tex]81000-56000=25000[/tex]

Thus the slope (or rate of change of population per year) is-

[tex]\frac{25000}{2}=12500[/tex]

Thus, in 2016 after 6 years, the increase in population will be-

[tex]12500\times6=75000[/tex]

Hence, the population in 2016 will be-

[tex]56000+75000=131000[/tex]

Final Answer: The population will be 131,000 in 2016.

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