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

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values (y/x) are equal.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

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

Back

The constant of proportionality is 3.

Front

What is the equation of a proportional relationship?

Back

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

Front

If a student reads 120 words in 2 minutes, what is their reading rate in words per minute?

Back

The reading rate is 60 words per minute (120 words / 2 minutes).

Front

If y = 5x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles, maintaining the proportional relationship.

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

How can you identify a proportional relationship from a set of graphs?

Back

You can identify a proportional relationship from a graph if it is a straight line that passes through the origin.