Tuesday 10 December 2013

EXPONENTIAL FUNCTONS A1


A settlement has a population of 2000 people. Each year 5%of the people leave the settlement. How many people will remain after 3 years?

solution

f(t) = A ( 1 -5/100)t

= 2000(1 – 0.05)t

= 2000 x (0.95)3

= 2000 x 0.95 x 0.95 x 0.95

= 2000 x 0.857375

= 1714.75 (1715 approximate)


Therefore there will be 1715 people remaining after three years of decay

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