Identifying 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

What is the constant of proportionality?

Back

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

Front

Back

No, it does not represent a proportional relationship because it is not a linear equation.

Front

Which graph represents a proportional relationship?

Back

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

Front

What does it mean if a table of values is proportional?

Back

It means that there is a constant ratio between the corresponding values in the table.

Front

How can you determine if a relationship is proportional from a table?

Back

Check if the ratio of y to x is constant for all pairs of values.

Front

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

Back

The relationship between distance and time when traveling at a constant speed.

Front

If k = 15 gallons of water per minute, what does this mean?

Back

It means that for every minute, 15 gallons of water are used.

Front

What is the equation of a proportional relationship if k = 8?

Back

The equation is y = 8x.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the quantities is not constant.