The population of a country doubled every 10 years from 1950 to 1980. What was the percent increase in population during this time?

Step 1: Calculate the population increase over time Let the initial population in 1950 be represented by 𝑃0. The population doubles every 10 years for a total of 30 years (from 1950 to 1980). This means the population doubles three times. • In 1960, the population was 2𝑃0. • In 1970, the population was 2×(2𝑃0)=4𝑃0. • In 1980, the population was2×(4𝑃0)=8𝑃0. The final population is 8 times the initial population. Step 2: Calculate the percent increase To find the percent increase, use the formula: Percent Increase=Final Population/Initial PopulationInitial Population×100 Plugging in the values from Step 1: Percent Increase=8𝑃0−𝑃0/𝑃0×100 Percent Increase=7𝑃0/𝑃0×100 Percent Increase=7×100=700 Answer: The percent increase in population during this time was 700%.