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The population of a city decreases by 4.9% per year. What should we multiply the current population by to find next year's population in one step? Answer:

The population of a city decreases by 4.9% 4.9 \% per year. What should we multiply the current population by to find next year's population in one step?\newlineAnswer:

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Full solution

Q. The population of a city decreases by 4.9% 4.9 \% per year. What should we multiply the current population by to find next year's population in one step?\newlineAnswer:
  1. Understand percentage decrease: Understand the percentage decrease. A decrease of 4.9%4.9\% per year means that the population retains 100%−4.9%100\% - 4.9\% of its value each year.
  2. Convert to decimal: Convert the percentage to a decimal.\newlineTo convert a percentage to a decimal, we divide by 100100. So, 4.9%4.9\% becomes 0.0490.049.
  3. Calculate remaining percentage: Calculate the remaining percentage as a decimal.\newlineSubtract the decimal value of the decrease from 11 (which represents 100%100\% of the population).\newline1−0.049=0.9511 - 0.049 = 0.951
  4. State multiplier: State the multiplier for the current population. The multiplier to find next year's population is 0.9510.951.

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