Sure, let's break down the process step-by-step to determine the daily frequency of bear sightings for each given percentage.
1. Understanding the Problem:
- There are 28 days in total.
- We are given percentages that indicate how often bears were sighted over those 28 days.
2. Interpreting Percentages:
- These percentages represent the portion of the total days (28 days) during which bears were sighted.
3. Calculating the Actual Days for Each Percentage:
- For Option A: 143%
- If bears were sighted 143% of the days, this means sightings happened 143% of 28 days.
- Actual days of sightings for 143% = [tex]\( \frac{143}{100} \times 28 \)[/tex] days.
- For Option B: 70%
- If bears were sighted 70% of the days, this means sightings happened 70% of 28 days.
- Actual days of sightings for 70% = [tex]\( \frac{70}{100} \times 28 \)[/tex] days.
- For Option C: 40%
- If bears were sighted 40% of the days, this means sightings happened 40% of 28 days.
- Actual days of sightings for 40% = [tex]\( \frac{40}{100} \times 28 \)[/tex] days.
- For Option D: 28%
- If bears were sighted 28% of the days, this means sightings happened 28% of 28 days.
- Actual days of sightings for 28% = [tex]\( \frac{28}{100} \times 28 \)[/tex] days.
4. Results:
- Option A (143%):
- [tex]\( \frac{143}{100} \times 28 = 40.04 \)[/tex] days
- So, there were sightings on approximately 40.04 days.
- Option B (70%):
- [tex]\( \frac{70}{100} \times 28 = 19.6 \)[/tex] days
- So, there were sightings on approximately 19.6 days.
- Option C (40%):
- [tex]\( \frac{40}{100} \times 28 = 11.2 \)[/tex] days
- So, there were sightings on approximately 11.2 days.
- Option D (28%):
- [tex]\( \frac{28}{100} \times 28 = 7.84 \)[/tex] days
- So, there were sightings on approximately 7.84 days.
In conclusion, we have calculated the actual days for each percentage:
- Option A (143%) = 40.04 days,
- Option B (70%) = 19.6 days,
- Option C (40%) = 11.2 days,
- Option D (28%) = 7.84 days.
