Proportional Relationships in tables, graphs, equations

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are the same for all pairs.

Front

What does the point (x, y) represent in a graph of a proportional relationship?

Back

The point (x, y) represents the quantity of one variable (y) corresponding to a specific value of another variable (x) in a proportional relationship.

Front

What is the significance of the origin (0,0) in a proportional relationship?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a characteristic of proportional relationships.

Front

How do you determine the unit rate from a proportional relationship?

Back

The unit rate can be determined by dividing the value of one quantity by the corresponding value of the other quantity when the second quantity is equal to 1.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How can you tell if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What does a slope of a line in a proportional relationship represent?

Back

The slope of a line in a proportional relationship represents the constant of proportionality (k) between the two variables.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities in the equation y = kx.

Front

How can you use a table to find the cost of one item in a proportional relationship?

Back

To find the cost of one item, divide the total cost by the number of items purchased.