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What is the percent of change from $46$ to $23$ ? $\newline$ Choices: $\newline$ (A) $23\%$ decrease $\newline$ (B) $23\%$ increase $\newline$ (C) $50\%$ increase $\newline$ (D) $50\%$ decrease

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Percent of change

Full solution

Q. What is the percent of change from

46

to

23

?

\newline

Choices:

\newline

(A)

23\%

decrease

\newline

(B)

23\%

increase

\newline

(C)

50\%

increase

\newline

(D)

50\%

decrease

Calculate Difference: Calculate the difference between the initial and final values. $\newline$ $46 - 23 = 23$ $\newline$ Amount of change is $23$ .
Calculate Percent Change: Calculate the percent of change using the formula: $(\text{Amount of change} / \text{Original amount}) \times 100\%$ . $\newline$ Percent of change = $(23 / 46) \times 100\%$ $\newline$ = $0.5 \times 100\%$ $\newline$ = $50\%$
Determine Increase or Decrease: Determine if the change is an increase or a decrease. $\newline$ Since the value decreased from $46$ to $23$ , it is a decrease.

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