Question

Find the percent change to the nearest whole percent.
​
​From
.
A
111% increase
B
53% increase
C
111% decrease
D
53% decrease

Answer 1

To determine the percent change, we need to analyze each option based on what it means in terms of an initial value.

Let's say the initial value is \( X \).

A. **111% increase**:
- New value = \( X + (1.11 \times X) = 2.11X \)
- Percent change = \( \frac{(2.11X - X)}{X} \times 100 = \frac{1.11X}{X} \times 100 = 111\% \)

B. **53% increase**:
- New value = \( X + (0.53 \times X) = 1.53X \)
- Percent change = \( \frac{(1.53X - X)}{X} \times 100 = \frac{0.53X}{X} \times 100 = 53\% \)

C. **111% decrease**:
- New value = \( X - (1.11 \times X) = -0.11X \)
- Percent change = \( \frac{(-0.11X - X)}{X} \times 100 = \frac{-1.11X}{X} \times 100 = -111\% \)

D. **53% decrease**:
- New value = \( X - (0.53 \times X) = 0.47X \)
- Percent change = \( \frac{(0.47X - X)}{X} \times 100 = \frac{-0.53X}{X} \times 100 = -53\% \)

### Summary:
- A: 111%
- B: 53%
- C: -111%
- D: -53%

If you are looking for the percent change as a change in value (positive for increase, negative for decrease), then the answers are:
- A: 111%
- B: 53%
- C: -111%
- D: -53%