The table show a relationship between x- and y- values which statement describes the pattern created by the values

Question

X: 2 4 6 8
Y: 6 8 10 12

Answer 1

To analyze the relationship between the x-values and y-values in the table:

• For \( x = 2 \), \( y = 6 \)
• For \( x = 4 \), \( y = 8 \)
• For \( x = 6 \), \( y = 10 \)
• For \( x = 8 \), \( y = 12 \)

We can observe the following:

1. As \( x \) increases by 2 (from 2 to 4, from 4 to 6, from 6 to 8), \( y \) also increases by 2 (from 6 to 8, from 8 to 10, from 10 to 12).
2. The relationship can be described by the equation \( y = x + 4 \).

Thus, the pattern can be summarized as:

• The value of \( y \) increases linearly by 2 for every increase of 2 in \( x \).
• The relationship is linear, and we can express it mathematically as \( y = x + 4 \).

In conclusion, the statement that describes the pattern created by the values is that there is a linear relationship where \( y \) increases by 2 for every increase of 2 in \( x \).