Proportional Relationships in Graphs

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

What does the unit rate represent in a graph?

Back

The unit rate represents the value of one unit of the first quantity in relation to the second quantity.

Front

How do you find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by dividing the value of the dependent variable by the value of the independent variable at any point on the line.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be expressed as k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a graph shows a line passing through the origin, what does it indicate?

Back

It indicates a proportional relationship between the two quantities.

Front

What does a steeper line on a graph indicate about the constant of proportionality?

Back

A steeper line indicates a larger constant of proportionality, meaning the dependent variable increases more rapidly with respect to the independent variable.

Front

What is the unit rate for 15 dollars for 1 ticket?

Back

The unit rate is 15 dollars per ticket.

Front

If Maya uses 3 meters of blue fabric for every 7 meters of orange fabric, what is the constant of proportionality?

Back

Front

What does a horizontal line on a graph indicate about the relationship between the variables?

Back

A horizontal line indicates that the dependent variable does not change as the independent variable changes, meaning there is no proportional relationship.

Front

What is the significance of the point (1, k) on a graph of a proportional relationship?

Back

The point (1, k) represents the unit rate, where k is the constant of proportionality.