Multiple choice

The population of a certain town increases by $50$ percent every $50$ years. If the population in $1950$ was $810$, in what year was the population $160$?

  1. $1650$
  2. $1700$
  3. $1750$
  4. $1800$
  5. $1850$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The population grows by 50 percent every 50 years, meaning it is multiplied by 1.5. Working backward from 1950 (810), we divide by 1.5: 810 / 1.5 = 540 (1900), 540 / 1.5 = 360 (1850), 360 / 1.5 = 240 (1800), 240 / 1.5 = 160 (1750).

AI explanation

Since the population grows by 50 percent every 50 years, we divide the 1950 population of 810 by 1.5 to find the population 50 years earlier, giving 540 in 1900. Dividing by 1.5 again gives 360 in 1850, then 240 in 1800, then 160 in 1750. The year the population was 160 is 1750.

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