What is the percent of change from 100 to 33? Choices: (A)74% increase (B)67% increase (C)74% decrease (D)67% decrease

Calculate Difference: Step 1: Calculate the difference between the final value and the initial value. Initial value: 100 Final value: 33 Difference = Final value - Initial value = 33 - 100 = -67Calculate Percent Change: Step 2: Calculate the percent of change based on the original amount. Original amount: 100 Percent of change = (Difference / Original amount) × 100% = (-67 / 100) × 100% = -67%Determine Increase or Decrease: Step 3: Determine if the percent of change is an increase or decrease. Since the number goes down from 100 to 33, it is a decrease.

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Math Problems

Grade 8

Percent of change

Full solution

Q. What is the percent of change from

100

33

\newline

Choices:

\newline

(A)

74\%

increase

\newline

(B)

67\%

increase

\newline

(C)

74\%

decrease

\newline

(D)

67\%

decrease

Calculate Difference: Step $1$ : Calculate the difference between the final value and the initial value. $\newline$ Initial value: $100$ $\newline$ Final value: $33$ $\newline$ Difference = Final value - Initial value = $33 - 100 = -67$
Calculate Percent Change: Step $2$ : Calculate the percent of change based on the original amount. $\newline$ Original amount: $100$ $\newline$ Percent of change = $(\text{Difference} / \text{Original amount}) \times 100\% = (-67 / 100) \times 100\% = -67\%$
Determine Increase or Decrease: Step $3$ : Determine if the percent of change is an increase or decrease. $\newline$ Since the number goes down from $100$ to $33$ , it is a decrease.