Question

write the linear equation that gives the rule for this table.

x | y
1 | 4
2 | 8
3 | 12
4 | 16

write your answer as an equation with y first, followed by an equals sign.

submit

Explanation:

Step1: Identify the relationship

Looking at the table, when \( x = 1 \), \( y = 4 \); \( x = 2 \), \( y = 8 \); \( x = 3 \), \( y = 12 \); \( x = 4 \), \( y = 16 \). We can see that \( y \) is 4 times \( x \) (since \( 4\times1 = 4 \), \( 4\times2 = 8 \), etc.).

Step2: Write the equation

The linear equation representing this relationship is \( y = 4x \).

Answer:

\( y = 4x \)