The population of a city increases by 2.2% per year. If this year's population is p, which expression does NOT represent next year's population? p+0.022 p 1+0.022 p 1p+0.022 p (1+0.022)p

Question

The population of a city increases by  2.2% per year. If this year's population is  p, which expression does NOT represent next year's population?  p+0.022 p  1+0.022 p  1p+0.022 p  (1+0.022)p

Bytelearn · Accepted Answer

Explanation of Increase Expression: To find next year's population, we need to increase this year's population (p) by 2.2%. The correct expression to represent a 2.2% increase is to multiply the current population by 1.022. This is because 1 represents the current population, and 0.022 represents the 2.2% increase.Checking Expressions for Accuracy: Let's check each expression to see if it correctly represents a 2.2% increase in population:  1. p + 0.022p: This expression adds 2.2% of p to p, which is correct. 2. 1 + 0.022p: This expression adds 1 to 2.2% of p, which does not make sense in the context of population growth. 3. 1p + 0.022p: This expression is the same as the first one, adding 2.2% of p to p, which is correct. 4. (1 + 0.022)p: This expression multiplies p by 1.022, which is the correct way to represent a 2.2% increase in population.Identifying Incorrect Expression: From the above analysis, the expression that does NOT correctly represent next year's population is the second expression: 1 + 0.022p. This is because it adds a constant value of 1 to 2.2% of the population, which does not correspond to a percentage increase of the entire population.

The population of a city increases by $2.2 \%$ per year. If this year's population is $p$ , which expression does NOT represent next year's population? $\newline$ $p+0.022 p$ $\newline$ $1+0.022 p$ $\newline$ $1 p+0.022 p$ $\newline$ $(1+0.022) p$

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