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ISEE Lower Level
Quantitative Reasoning

Town Population Growth Calculation

Very Hard Word Problems Algebraic Reasoning

In a small town, the population increases annually by a fixed percentage. In 2020, the town's population was 8,000. If the population increases by 5% each year, what will the population be in 2025?

To calculate the population after several years with a fixed percentage increase, you can use the formula:

$$ P(t) = P_0 (1 + r)^t $$

where:

  • $$ P(t) $$ = future population
  • $$ P_0 $$ = initial population
  • $$ r $$ = rate of increase (as a decimal)
  • $$ t $$ = number of years

Hint

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