Question

determine the constant of proportionality. express your answer as y = kx
votes for vanessa (x) | 7 | 3 | 6 | 4 | 2
votes for tom (y) | 238 | 102 | 204 | 136 | 68
for every vote for vanessa there were ______ votes for tom.

Explanation:

Step1: Recall the formula for proportionality

The relationship is \( y = kx \), so \( k=\frac{y}{x} \). We can use any pair of \( x \) and \( y \) values from the table. Let's take the first pair: \( x = 7 \), \( y = 238 \).

Step2: Calculate \( k \)

Substitute into \( k=\frac{y}{x} \): \( k=\frac{238}{7}=34 \). Let's verify with another pair, say \( x = 3 \), \( y = 102 \): \( \frac{102}{3}=34 \). So \( k = 34 \).

Answer:

34