Question

Determine which type of role is represented in the table What are the missing value x 4 8 12 16 y 8 blank blank 20

Answer 1

To determine the missing values in the table represented by \( x \) and \( y \), we can examine the values provided:

- For \( x = 4 \), \( y = 8 \)
- For \( x = 8 \), \( y \) = blank
- For \( x = 12 \), \( y \) = blank
- For \( x = 16 \), \( y = 20 \)

Let's look for a pattern. The first value at \( x = 4 \) has \( y = 8 \). Now we can calculate the differences between the \( x \) and \( y \) values:

1. For \( x = 4 \):
- \( y = 8 \)
- The difference \( y - x = 8 - 4 = 4 \)

2. For \( x = 8 \):
- Let's denote \( y \) as \( y_1 \) for now.
- We need to estimate \( y_1 \). If the difference remains consistent, \( y_1 \) should also be \( 4 + 8 = 12 \) (if we maintain the same difference).

3. For \( x = 12 \):
- Let's denote this \( y \) value as \( y_2 \).
- Following the pattern, continuing differences of \( 4 \) would yield \( y_2 = 12 + 4 = 16 \).

4. For \( x = 16 \):
- We already know \( y = 20 \).
- The difference here is \( 20 - 16 = 4 \).

Based on this consistent difference of \( 4 \), we can fill in the blanks:
- For \( x = 8 \): \( y = 12 \)
- For \( x = 12 \): \( y = 16 \)

Thus, the completed table looks like this:

- \( x = 4, y = 8 \)
- \( x = 8, y = 12 \)
- \( x = 12, y = 16 \)
- \( x = 16, y = 20 \)

The missing values are \( 12 \) and \( 16 \).