Question
Find the percent change to the nearest whole percent.
From
.
A
111% increase111\% \ \mathrm{increase}111% increase
B
53% increase53\% \ \text{increase}53% increase
C
111% decrease111\% \ \text{decrease}111% decrease
D
53% decrease53\% \ \text{decrease}53% decrease
From
.
A
111% increase111\% \ \mathrm{increase}111% increase
B
53% increase53\% \ \text{increase}53% increase
C
111% decrease111\% \ \text{decrease}111% decrease
D
53% decrease53\% \ \text{decrease}53% decrease
Answers
GPT-4o mini
To calculate the percent change, we will determine the percent increase or decrease from one scenario to the other. Here are the steps involved in each of the options:
1. **From A (111% increase) to B (53% increase)**:
- Change = Final percent - Initial percent = \( 53\% - 111\% = -58\% \)
- Percent Change = \(\frac{-58\%}{111\%} \times 100 \approx -52.25\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-52%**.
2. **From A (111% increase) to C (111% decrease)**:
- Change = Final percent - Initial percent = \( -111\% - 111\% = -222\% \)
- Percent Change = \(\frac{-222\%}{111\%} \times 100 = -200\%\)
- Therefore, the percent change is **-200%**.
3. **From A (111% increase) to D (53% decrease)**:
- Change = Final percent - Initial percent = \( -53\% - 111\% = -164\% \)
- Percent Change = \(\frac{-164\%}{111\%} \times 100 \approx -147.7\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-148%**.
4. **From B (53% increase) to C (111% decrease)**:
- Change = Final percent - Initial percent = \( -111\% - 53\% = -164\% \)
- Percent Change = \(\frac{-164\%}{53\%} \times 100 \approx -309.43\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-309%**.
5. **From B (53% increase) to D (53% decrease)**:
- Change = Final percent - Initial percent = \( -53\% - 53\% = -106\% \)
- Percent Change = \(\frac{-106\%}{53\%} \times 100 \approx -200\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-200%**.
6. **From C (111% decrease) to D (53% decrease)**:
- Change = Final percent - Initial percent = \( -53\% - (-111\%) = 58\% \)
- Percent Change = \(\frac{58\%}{111\%} \times 100 \approx 52.25\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **52%**.
In summary, the percent changes from A, B, C, and D to one another vary, and each scenario outlined yields specific results based on the calculations above.
1. **From A (111% increase) to B (53% increase)**:
- Change = Final percent - Initial percent = \( 53\% - 111\% = -58\% \)
- Percent Change = \(\frac{-58\%}{111\%} \times 100 \approx -52.25\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-52%**.
2. **From A (111% increase) to C (111% decrease)**:
- Change = Final percent - Initial percent = \( -111\% - 111\% = -222\% \)
- Percent Change = \(\frac{-222\%}{111\%} \times 100 = -200\%\)
- Therefore, the percent change is **-200%**.
3. **From A (111% increase) to D (53% decrease)**:
- Change = Final percent - Initial percent = \( -53\% - 111\% = -164\% \)
- Percent Change = \(\frac{-164\%}{111\%} \times 100 \approx -147.7\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-148%**.
4. **From B (53% increase) to C (111% decrease)**:
- Change = Final percent - Initial percent = \( -111\% - 53\% = -164\% \)
- Percent Change = \(\frac{-164\%}{53\%} \times 100 \approx -309.43\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-309%**.
5. **From B (53% increase) to D (53% decrease)**:
- Change = Final percent - Initial percent = \( -53\% - 53\% = -106\% \)
- Percent Change = \(\frac{-106\%}{53\%} \times 100 \approx -200\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **-200%**.
6. **From C (111% decrease) to D (53% decrease)**:
- Change = Final percent - Initial percent = \( -53\% - (-111\%) = 58\% \)
- Percent Change = \(\frac{58\%}{111\%} \times 100 \approx 52.25\%\)
- Thus, rounded to the nearest whole percent, the percent change is approximately **52%**.
In summary, the percent changes from A, B, C, and D to one another vary, and each scenario outlined yields specific results based on the calculations above.