Proportional Relationships

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 determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are equivalent.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, representing the constant of proportionality.

Front

How do you find the value of y in the equation y = kx when given a specific value of x?

Back

Substitute the value of x into the equation and solve for y.

Front

What does the equation y = 3x represent in terms of proportional relationships?

Back

It represents a proportional relationship where for every unit increase in x, y increases by 3.

Front

If a table shows the values (1, 3), (2, 6), (3, 9), is this table proportional?

Back

Yes, because the ratios (y/x) are all equal to 3.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

How can you express a proportional relationship using a graph?

Back

A proportional relationship can be expressed as a straight line that passes through the origin (0,0) on a graph.

Front

What is the relationship between the x and y values in a proportional relationship?

Back

In a proportional relationship, as x increases, y increases at a constant rate determined by the constant of proportionality.