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These ordered pairs represent a proportional relationship. Use the interactive and constant of proportionality.

A. Determine the constant of proportionality.
B. Identify the independent variable.
C. Calculate the dependent variable.
D. Graph the proportional relationship

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Final answer:

To analyze proportional relationships based on ordered pairs, find the constant of proportionality by dividing y by x, identify the independent variable that affects the dependent variable, calculate the dependent variable by multiplying the independent variable with the constant of proportionality, and graph the relationship resulting in a straight line through the origin if it's directly proportional.

Step-by-step explanation:

When analyzing ordered pairs that represent a proportional relationship, it's essential to identify several components:

A. Constant of Proportionality

The constant of proportionality (k) is found when two variables are directly proportional (y = kx). To determine k, divide the y-value by the x-value for any given pair (assuming x is not zero).

B. Independent Variable

The independent variable is the variable that you change to see how it affects the other variable. It's typically represented on the x-axis of a graph.

C. Dependent Variable

The dependent variable changes in response to the independent variable, and it's typically illustrated on the y-axis. In a direct relationship, this variable is calculated by multiplying the independent variable by the constant of proportionality.

D. Graphing the Relationship

To graph a proportional relationship, plot the ordered pairs on a coordinate plane, and if the relationship is direct, you should see a straight line passing through the origin (0,0).

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