https://file.aiquickdraw.com/mathbot/file/1726016528247uhmoej4i.jpg

To solve the problem in the image, we can set up a proportion to represent the scenario.

### Problem:
The Dallas Cowboys won 11 games out of 16 in the 2009 season. We need to find out how many total games they need to play to win 44 games if they maintain the same win rate.

### Step 1: Set up the proportion

\[
\frac{\text{Wins}}{\text{Games Played}} = \frac{11}{16}
\]

Let \( z \) represent the number of games they need to play to win 44 games.

\[
\frac{11}{16} = \frac{44}{z}
\]

### Step 2: Solve the proportion
To solve for \( z \), cross-multiply:

\[
11 \times z = 16 \times 44
\]

\[
11z = 704
\]

Now divide both sides by 11:

\[
z = \frac{704}{11} = 64
\]

### Conclusion:
The Cowboys need to play **64 games** to win 44 games at the same rate.

---

Would you like a further breakdown or details on how proportions work? 

Here are 5 related questions to explore:
1. If the Cowboys played 32 games, how many games would they win at this rate?
2. How do you solve a proportion with an unknown variable?
3. What is the win percentage of the Cowboys based on this ratio?
4. If the win rate changes to 12/16, how many games would they need to play to win 44 games?
5. How many games would they need to win if they played 100 games at the same rate?

**Tip:** Always cross-multiply when solving proportions to eliminate fractions and simplify the equation.

The Dallas Cowboys won eleven games out of sixteen of their games during the 2009 regular season. At this rate, how many games do they need to play to win 44 games?

Learn how to set up and solve a proportion to find out how many games the Dallas Cowboys need to play to win 44 games, using the same win rate from the 2009 regular season. This math problem involves ratio and proportion concepts, 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