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The population of a city decreases by 
4.1% per year. If this year's population is 
p, which expression represents next year's population?
0.959

4.1 p

1p-0.041 p

0.041 p

The population of a city decreases by 4.1% 4.1 \% per year. If this year's population is p p , which expression represents next year's population?\newline00.959959\newline4.1p 4.1 p \newline1p0.041p 1 p-0.041 p \newline0.041p 0.041 p

Full solution

Q. The population of a city decreases by 4.1% 4.1 \% per year. If this year's population is p p , which expression represents next year's population?\newline00.959959\newline4.1p 4.1 p \newline1p0.041p 1 p-0.041 p \newline0.041p 0.041 p
  1. Understand the problem: Understand the problem.\newlineWe need to find the expression that represents the population of the city next year after a decrease of 4.1%4.1\% from this year's population, which is pp.
  2. Calculate remaining population: Calculate the percentage of the population that will remain after the decrease.\newlineIf the population decreases by 4.1%4.1\%, then 100%4.1%=95.9%100\% - 4.1\% = 95.9\% of the population will remain.
  3. Convert percentage to decimal: Convert the percentage to a decimal to use in calculations. 95.9%95.9\% as a decimal is 0.9590.959.
  4. Write expression for next year's population: Write the expression for next year's population.\newlineNext year's population is this year's population pp multiplied by the decimal form of the remaining percentage 0.9590.959.\newlineSo, the expression is 0.959×p0.959 \times p.