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The population of a city decreases by 
5% per year. If this year's population is 
p, which expression represents next year's population?

0.995 p

0.95 p

5p

0.05 p

The population of a city decreases by 5% 5 \% per year. If this year's population is p p , which expression represents next year's population?\newline0.995p 0.995 p \newline0.95p 0.95 p \newline5p 5 p \newline0.05p 0.05 p

Full solution

Q. The population of a city decreases by 5% 5 \% per year. If this year's population is p p , which expression represents next year's population?\newline0.995p 0.995 p \newline0.95p 0.95 p \newline5p 5 p \newline0.05p 0.05 p
  1. Find Expression: We need to find the expression that represents the population of the city next year after a decrease of 5%5\%. To do this, we will calculate the remaining population after a 5%5\% decrease.
  2. Calculate Remaining Population: A 5%5\% decrease means that 95%95\% of the population remains. To find 95%95\% of the current population pp, we multiply pp by 95%95\% or 0.950.95.
  3. Population of City Next Year: The expression that represents 95%95\% of pp is 0.95×p0.95 \times p. This is the population of the city next year.

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