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The population of a city decreases by 3% per year. If this year's population is p, which expression represents next year's population? p-0.03 1p-0.03 p 3p 0.97

The population of a city decreases by 3% 3 \% per year. If this year's population is p p , which expression represents next year's population?\newlinep−0.03 p-0.03 \newline1p−0.03p 1 p-0.03 p \newline3p 3 p \newline00.9797

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Q. The population of a city decreases by 3% 3 \% per year. If this year's population is p p , which expression represents next year's population?\newlinep−0.03 p-0.03 \newline1p−0.03p 1 p-0.03 p \newline3p 3 p \newline00.9797
  1. Identify percentage decrease: The question prompt is: ＂What expression represents next year's population if the current population is pp and it decreases by 3%3\% per year?＂
  2. Convert to decimal: Identify the percentage decrease in the population.\newlineThe population decreases by 3%3\% each year.
  3. Calculate decrease: Convert the percentage decrease to a decimal.\newline3%3\% as a decimal is 0.030.03.
  4. Subtract from current population: Calculate the decrease in population.\newlineThe decrease in population is 3%3\% of pp, which is 0.03×p0.03 \times p.
  5. Simplify expression: Subtract the decrease from the current population to find next year's population.\newlineNext year's population is p−(0.03×p)p - (0.03 \times p).
  6. Simplify expression: Subtract the decrease from the current population to find next year's population.\newlineNext year's population is p−(0.03×p)p - (0.03 \times p). Simplify the expression.\newlineNext year's population is p−0.03pp - 0.03p, which simplifies to 0.97p0.97p.

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