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?0.9594.1p1p−0.041p0.041p
Q. 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?0.9594.1p1p−0.041p0.041p
Understand the problem: Understand the problem.We need to find the expression that represents the population of the city next year after a decrease of 4.1% from this year's population, which is p.
Calculate remaining population: Calculate the percentage of the population that will remain after the decrease.If the population decreases by 4.1%, then 100%−4.1%=95.9% of the population will remain.
Convert percentage to decimal: Convert the percentage to a decimal to use in calculations. 95.9% as a decimal is 0.959.
Write expression for next year's population: Write the expression for next year's population.Next year's population is this year's population p multiplied by the decimal form of the remaining percentage 0.959.So, the expression is 0.959×p.
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