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To solve this table problem, we need to establish a relationship between inches and feet. Since 12 inches equal 1 foot, we can create a formula to fill in the table.

### Formula:
The relationship between inches and feet is:
\[
y = \frac{x}{12}
\]
Where:
- \(x\) is the number of inches
- \(y\) is the number of feet

### Let's use this to fill in the missing values:

1. **420 inches** to feet:
   \[
   y = \frac{420}{12} = 35 \text{ feet}
   \]

2. **75 inches** to feet:
   \[
   y = \frac{75}{12} = 6.25 \text{ feet}
   \]

3. **\(x\) inches for \( \frac{1}{2} \) foot**:
   \[
   \frac{x}{12} = \frac{1}{2}
   \]
   Solving for \(x\):
   \[
   x = \frac{1}{2} \times 12 = 6 \text{ inches}
   \]

### Final table:
| Number of inches | Number of feet |
|------------------|----------------|
| 12               | 1              |
| 420              | 35             |
| 75               | 6.25           |
| 6                | 0.5            |

The equation to convert inches to feet is \( y = \frac{x}{12} \).

Would you like any more details on this, or do you have any further questions?

### Related Questions:
1. How would you convert feet back into inches?
2. Can you explain how decimals in feet are handled when converting?
3. What is the conversion for 100 inches to feet?
4. How many inches are there in 2.5 feet?
5. Can you express the conversion formula as \(x = 12y\)?

### Tip:
Always ensure that you understand the relationship between units (like inches and feet) to avoid conversion mistakes in similar problems.

The table represents the relationship between a set of measurements in inches and the same measurements converted to feet. Complete the table.

Solve this inches to feet conversion table problem. Learn how to convert 420 inches to feet, determine how many feet 75 inches represent, and find the number of inches for half a foot. Perfect for Grades 5-7 math students.

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