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What is the percent of change from $5$ to $1$ ? $\newline$ Choices: $\newline$ (A) $4\%$ decrease $\newline$ (B) $80\%$ decrease $\newline$ (C) $80\%$ increase $\newline$ (D) $4\%$ increase

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Percent of change

Full solution

Q. What is the percent of change from

5

to

1

?

\newline

Choices:

\newline

(A)

4\%

decrease

\newline

(B)

80\%

decrease

\newline

(C)

80\%

increase

\newline

(D)

4\%

increase

Identify values: Step $1$ : Identify the initial and final values. $\newline$ Initial value: $5$ $\newline$ Final value: $1$ $\newline$ Calculate the difference between the two values. $\newline$ $1 - 5 = -4$ $\newline$ Amount of change is $-4$ .
Calculate percent of change: Step $2$ : Calculate the percent of change. $\newline$ Amount of change: $-4$ $\newline$ Original amount: $5$ $\newline$ percent of change = $(\text{amount of change} / \text{original amount}) \times 100\%$ $\newline$ percent of change = $(-4 / 5) \times 100\%$ $\newline$ = $-0.8 \times 100\%$ $\newline$ = $-80\%$ $\newline$ The percent of change is $-80\%$ .
Determine increase or decrease: Step $3$ : Determine whether the percent of change is an increase or decrease. $\newline$ Since the number goes down from $5$ to $1$ , it is a decrease.

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