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What is the percent of change from $8$ to $4$ ? $\newline$ Choices: $\newline$ (A) $100\%$ increase $\newline$ (B) $50\%$ decrease $\newline$ (C) $50\%$ increase $\newline$ (D) $100\%$ decrease

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Percent of change

Full solution

Q. What is the percent of change from

8

to

4

?

\newline

Choices:

\newline

(A)

100\%

increase

\newline

(B)

50\%

decrease

\newline

(C)

50\%

increase

\newline

(D)

100\%

decrease

Calculate Difference: Step $1$ : Calculate the difference between the initial and final values. $\newline$ Initial value: $8$ $\newline$ Final value: $4$ $\newline$ Difference = Final value - Initial value = $4 - 8 = -4$ $\newline$ Amount of change is $-4$ .
Calculate Percent Change: Step $2$ : Calculate the percent of change. $\newline$ Original amount: $8$ $\newline$ Percent of change $= (\text{Amount of change} / \text{Original amount}) \times 100\%$ $\newline$ Percent of change $= (-4 / 8) \times 100\%$ $\newline$ $= -0.5 \times 100\%$ $\newline$ $= -50\%$ $\newline$ This means there's a $50\%$ decrease.

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