Question

1. the table shows a proportional relationship:

x	1	2	3
y	8	16	24

what is the constant of proportionality?

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Explanation:

Step1: Recall proportionality formula

For a proportional relationship, \( y = kx \), so \( k=\frac{y}{x} \).

Step2: Calculate \( k \) for first pair

Take \( x = 1 \), \( y = 8 \). Then \( k=\frac{8}{1}=8 \).

Step3: Verify with other pairs

For \( x = 2 \), \( y = 16 \): \( \frac{16}{2}=8 \). For \( x = 3 \), \( y = 24 \): \( \frac{24}{3}=8 \). All give \( k = 8 \).

Answer:

8