https://file.aiquickdraw.com/mathbot/file/1726686327031oix97jka.jpg

The problem provided in the image asks to calculate Peyton Manning's percentage of completions and percentage of touchdowns based on his statistics over the entire season.

### Given Information:
- **Week 8 Stats**:
  - 215 completed passes
  - 69 touchdowns
  - 25 incomplete passes
  - No interceptions
  - 5,138 yards gained

- **Stats for the rest of the season**:
  - 71 completed passes
  - 18 touchdowns
  - 23 incomplete passes
  - No interceptions
  - 3,583 yards gained

#### To find:
1. **Completion Percentage**:
   Completion percentage is calculated using:
   \[
   \text{Completion Percentage} = \left( \frac{\text{Total Completions}}{\text{Total Attempts}} \right) \times 100
   \]
   where:
   - Total completions = 215 (Week 8) + 71 (rest of the season)
   - Total attempts = Total completions + Total incomplete passes

2. **Touchdown Percentage**:
   Touchdown percentage is calculated using:
   \[
   \text{Touchdown Percentage} = \left( \frac{\text{Total Touchdowns}}{\text{Total Completions}} \right) \times 100
   \]
   where:
   - Total touchdowns = 69 (Week 8) + 18 (rest of the season)

Let me calculate these values.Here are the results for Peyton Manning's statistics:

1. **Completion Percentage**: 85.63% (rounded to two decimal places)
2. **Touchdown Percentage**: 30.42% (rounded to two decimal places)

Let me know if you'd like further details or have any questions. Here are some related questions:

1. How is total passing yardage calculated over a season?
2. How would interceptions affect quarterback ratings or completion percentage?
3. What other factors are considered in a quarterback rating system?
4. How is the quarterback's efficiency impacted by the completion percentage?
5. What is the significance of touchdown percentage in assessing a quarterback's performance?

**Tip**: Always ensure that you're working with the total values for both completions and attempts when calculating percentage-based statistics.

Peyton Manning, the best quarterback EVER, has the following stats as of week 8 in the season: 215 completed passes, 69 touchdowns, 25 incomplete passes, NO INTERCEPTIONS, and a total of 5,138 yards gained. Over the rest of the season, he completed 71 passes, 18 touchdowns, 23 incomplete passes, STILL NO INTERCEPTIONS, and gained 3,583 yards. Find Manning's percent of completion and percent of touchdowns.

This problem requires calculating the completion percentage and touchdown percentage for Peyton Manning's season statistics. Learn how to use basic percentage formulas to solve this real-world problem involving sports statistics, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation