Proportional Relationships (tables, constants, equations)

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 if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

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

Front

In the equation y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

If a table shows values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Front

What is the formula to find the constant of proportionality from a table?

Back

The constant of proportionality can be found using the formula k = y/x.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

How do you determine if a relationship is non-proportional?

Back

A relationship is non-proportional if the ratios of corresponding values are not equal.

Front

What does it mean if k = 0 in a proportional relationship?

Back

If k = 0, it means that the relationship is constant and does not change with x.

Front

If you travel 240 miles on 8 gallons, how far did you travel per gallon?

Back

You traveled 30 miles per gallon.