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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table 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

If you travel 150 miles on 5 gallons of gas, what is the constant of proportionality?

Back

The constant of proportionality is 30 miles per gallon.

Front

Does the equation y = 2x + 3 represent a proportional relationship?

Back

No, because it includes a constant term (3) that prevents the ratio from being constant.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the total quantity by the number of units (e.g., miles per gallon).

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

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

Back

Yes, because the ratios (y/x) are all equal to 2.

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.