Question

x 2 4 6 8
y 1 2 3 4
graph the proportional relationship given in the table.
what is the y - value when x = 12?

Explanation:

Step1: Identify the relationship

From the table, check the ratio of \( y \) to \( x \). For \( x = 2, y = 1 \), ratio is \( \frac{1}{2} \); \( x = 4, y = 2 \), ratio \( \frac{2}{4}=\frac{1}{2} \); so the relationship is \( y=\frac{1}{2}x \) (proportional, \( k = \frac{1}{2} \)).

Step2: Calculate \( y \) when \( x = 12 \)

Substitute \( x = 12 \) into \( y=\frac{1}{2}x \). So \( y=\frac{1}{2}\times12 = 6 \).

Answer:

6