4. During a softball season, Mikah had the following batting performances: 10 home runs, 7 triples, 6 doubles, 35 singles, 8 walks, and 2 Outs. What is Mikah 's slugging percentage for the season?
4. During a softball season, Mikah had the following batting performances: 10 home runs, 7 triples, 6 doubles, 35 singles, 8 walks, and 2 Outs. What is Mikah 's slugging percentage for the season?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:**Problem 4: Calculating Slugging Percentage**
During a softball season, Mikah had the following batting performances:
- 10 home runs
- 7 triples
- 6 doubles
- 35 singles
- 8 walks
- 2 outs
**Question:** What is Mikah's slugging percentage for the season?
**Explanation:**
To calculate the slugging percentage, you use the following formula:
Slugging Percentage = (Total Bases) / (At Bats)
Where:
- **Singles** count as 1 base each
- **Doubles** count as 2 bases each
- **Triples** count as 3 bases each
- **Home Runs** count as 4 bases each
Note: Walks and outs do not count in the total bases or at bats for slugging percentage.
First, compute the total number of bases:
- Singles: 35 singles × 1 base = 35 bases
- Doubles: 6 doubles × 2 bases = 12 bases
- Triples: 7 triples × 3 bases = 21 bases
- Home Runs: 10 home runs × 4 bases = 40 bases
Total Bases = 35 + 12 + 21 + 40 = 108 bases
Next, calculate the total at bats:
Total At Bats = Singles + Doubles + Triples + Home Runs
Total At Bats = 35 + 6 + 7 + 10 = 58
Finally, calculate the slugging percentage:
Slugging Percentage = 108 bases / 58 at bats = 1.862 (rounded to three decimal places)
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