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What is the percent of change from $20$ to $11$ ? $\newline$ Choices: $\newline$ (A) $45\%$ decrease $\newline$ (B) $45\%$ increase $\newline$ (C) $9\%$ decrease $\newline$ (D) $9\%$ increase

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Percent of change

Full solution

Q. What is the percent of change from

20

to

11

?

\newline

Choices:

\newline

(A)

45\%

decrease

\newline

(B)

45\%

increase

\newline

(C)

9\%

decrease

\newline

(D)

9\%

increase

Calculate Difference: Step $1$ : Calculate the difference between the final value and the initial value. $\newline$ Initial value: $20$ $\newline$ Final value: $11$ $\newline$ Difference = Final value - Initial value = $11 - 20 = -9$ $\newline$ Amount of change is $-9$ .
Calculate Percent: Step $2$ : Calculate the percent of change. $\newline$ Amount of change: $-9$ $\newline$ Original amount: $20$ $\newline$ Percent of change = $\frac{\text{Amount of change}}{\text{Original amount}} \times 100\%$ $\newline$ Percent of change = $\frac{-9}{20} \times 100\%$ $\newline$ = $-0.45 \times 100\%$ $\newline$ = $-45\%$ $\newline$ The percent of change is $-45\%$ .
Determine Change Type: Step $3$ : Determine whether the percent of change is an increase or decrease. $\newline$ Since the number goes down from $20$ to $11$ , it is a decrease. $\newline$ The percent of change is a $45\%$ decrease.

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