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The value of
x is decreased by
14%. Which expression represents this situation?

0.986 x

0.86 x

0.14 x

14 x

The value of $x$ is decreased by $14 \%$ . Which expression represents this situation? $\newline$ $0.986 x$ $\newline$ $0.86 x$ $\newline$ $0.14 x$ $\newline$ $14 x$

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Scale drawings: word problems

Full solution

Q. The value of

x

is decreased by

14 \%

. Which expression represents this situation?

\newline

0.986 x

\newline

0.86 x

\newline

0.14 x

\newline

14 x

Calculate $14$ % of $x$ : To represent a decrease of $14$ % in the value of $x$ , we need to subtract $14$ % of $x$ from $x$ itself. To find $14$ % of $x$ , we convert the percentage to a decimal by dividing by $100$ , which gives us $0.14$ . Then we multiply $x$ by $0.14$ to get $14$ % of $x$ . $\newline$ Calculation: $x$ $0$
Subtract $14$ % from $x$ : Now, to decrease $x$ by $14\%$ , we subtract $0.14x$ from $x$ . This can be represented as $x - 0.14x$ . $\newline$ Calculation: $x - 0.14x = (1 - 0.14)x = 0.86x$
Verify $14$ % decrease: We check to ensure that the expression $0.86x$ represents a $14\%$ decrease from $x$ . If $x$ is decreased by $14\%$ , we are left with $86\%$ of $x$ , which is correctly represented by the expression $0.86x$ .

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