Question

The following function gives the population of a town, with t measured in years after 2010. What will the population of the town be in 2019? Round to the nearest whole number.

P(t)=7842e0.018t

Answer 1

Solution

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It is given that

Present population (P) = 15625

Rate of increase (r) = 4% p.a.

Period (n) = 3 years

We know that

Population after 3 years = P(1+r/100)

n

Substituting the values

= 15625(1+4/100)

3

By further calculation

= 15625×26/25×26/25×26/25

=17576

So the increase = 17576−15625=1951

Explanation:

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