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, often represented in the equation p = kw.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

If k = 0.45, what is the equation relating weight (w) to price (p)?

Back

p = 0.45w.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

If Jasmin uses 1.5 cups of water, how much flour does she need if the ratio is 1/4 cup water to 1/2 cup flour?

Back

She needs 3 cups of flour.

Front

What is a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0) and represents a constant ratio between two variables.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

The slope of a line in a proportional relationship represents the constant of proportionality.