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A town had a population of 50,000 in 1988. In one year, by 1989, it increased by 25%. Next year, in 1990, it decreased by 30%. The next year, in 1991, there was an increase of 40%. What is the population at the end of 1991?
62,250
61,250
60,250
66,550
61,250
Convert percentage increases and decreases directly into multipliers: 1.25×0.70×1.40=1.225. Multiply this single growth factor by the initial population 50,000.
Initial population in 1988 = 50,000, 1989 population change = +25%, 1990 population change = -30%, 1991 population change = +40%
Pfinal=P0×(1+100r1)×(1−100r2)×(1+100r3)
Convert percentage increases and decreases directly into multipliers: 1.25×0.70×1.40=1.225. Multiply this single growth factor by the initial population 50,000.
Applying the percentage changes directly to the initial 50,000 all at once instead of updating the population sequentially year by year.
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