Question

this table shows a proportional relationship between x and y.
x | y
1 | 8
2 | 16
3 | 24
what is a constant of proportionality in the relationship?
(there is a submit button and an input box below the question.)

Explanation:

Step1: Recall the formula for proportionality

For a proportional relationship \( y = kx \), the constant of proportionality \( k \) is \( \frac{y}{x} \). We check each pair of \( x \) and \( y \) values.

Step2: Check \( x = 1, y = 8 \)

Calculate \( k=\frac{y}{x}=\frac{8}{1}=8 \).

Step3: Check \( x = 2, y = 16 \) (assuming the typo, 10 is likely 16)

Calculate \( k=\frac{16}{2}=8 \).

Step4: Check \( x = 3, y = 24 \)

Calculate \( k=\frac{24}{3}=8 \).

Answer:

8