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:
Q. 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:
Understand the percentage increase: Understand the percentage increase. An increase of 3.2% per year means that for every 100 units of population, an additional 3.2 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.
Convert to decimal: Convert the percentage increase to a decimal.To convert a percentage to a decimal, divide by 100. So, 3.2% becomes 1003.2=0.032.
Add to 1: Add the decimal increase to 1.Since the original population is the whole (100%), which is 1 when expressed as a decimal, we add the decimal increase to 1 to find the total multiplier. 1+0.032=1.032.
State the multiplier: State the multiplier.The multiplier that we should use to find the next year's population is 1.032. This means that to find the next year's population, we multiply the current population by 1.032.
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