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The population of a city increases by 
3.2% per year. What should we multiply the current population by to find the next year's population in one step?
Answer:

The population of a city increases by 3.2% 3.2 \% per year. What should we multiply the current population by to find the next year's population in one step?\newlineAnswer:

Full solution

Q. The population of a city increases by 3.2% 3.2 \% per year. What should we multiply the current population by to find the next year's population in one step?\newlineAnswer:
  1. Understand the percentage increase: Understand the percentage increase. An increase of 3.2%3.2\% per year means that for every 100100 units of population, an additional 3.23.2 units are added after one year. To find the factor to multiply the current population by, we need to express the total population after the increase as a single multiplier.
  2. Convert to decimal: Convert the percentage increase to a decimal.\newlineTo convert a percentage to a decimal, divide by 100100. So, 3.2%3.2\% becomes 3.2100=0.032\frac{3.2}{100} = 0.032.
  3. Add to 11: Add the decimal increase to 11.\newlineSince the original population is the whole (100%100\%), which is 11 when expressed as a decimal, we add the decimal increase to 11 to find the total multiplier. 1+0.032=1.0321 + 0.032 = 1.032.
  4. State the multiplier: State the multiplier.\newlineThe multiplier that we should use to find the next year's population is 1.0321.032. This means that to find the next year's population, we multiply the current population by 1.0321.032.

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