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 is constant.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are equivalent.

Front

What does it mean if a table does not represent a proportional relationship?

Back

It means that the ratios of the corresponding values in the table are not constant.

Front

Which equation represents a proportional relationship? y = 2x or y = x + 5?

Back

y = 2x represents a proportional relationship because it can be expressed as y = kx, where k is a constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

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 (0,0).

Front

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

Back

An example is the relationship between distance and time when traveling at a constant speed.

Front

Are the ratios 2/3 and 4/6 proportional?

Back

Yes, the ratios 2/3 and 4/6 are proportional because they simplify to the same value (2/3).

Front

What is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.