Question

how can you represent a proportional relationship using an equation? find the (select), k. an equation for the proportional relationship is (select).

Explanation:

Step1: Recall Proportional Relationship

In a proportional relationship between two variables \( y \) and \( x \), the relationship is linear and passes through the origin. The constant of proportionality \( k \) is the ratio of \( y \) to \( x \) (i.e., \( k=\frac{y}{x} \) when \( x
eq0 \)).

Step2: Formulate the Equation

Once we find the constant of proportionality \( k \), the equation that represents the proportional relationship is \( y = kx \). So first, we find the "constant of proportionality", \( k \), and then the equation is \( y=kx \) (or other variables depending on context, but generally in the form \( y = kx \) for proportional relationships).

Answer:

First (select) box: constant of proportionality; Second (select) box: \( y = kx \) (or equivalent with other variable names, e.g., \( y=kx \) where \( k \) is the constant of proportionality)