4.1.2 Using Tables, Graphs, and Equations Proportional Rel.

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 is constant.

Front

How can you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for every one unit of another quantity.

Front

What is the equation of a proportional relationship?

Back

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

Front

If a table shows values of x and y, how can you determine if it is proportional?

Back

To determine if a table is proportional, check if the ratio y/x is constant for all pairs of values.

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

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio between the two quantities.

Front

How do you write an equation from a proportional relationship?

Back

To write an equation from a proportional relationship, identify the constant of proportionality and use the form y = kx.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the speed of a car, where distance traveled is proportional to time at a constant speed.

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero in a proportional relationship.