Proportional Graphs

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 graph?

Back

A proportional graph passes through the origin (0,0) and has a straight line.

Front

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

Back

A non-proportional graph does not pass through the origin and does not maintain a constant ratio.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you find the constant of proportionality from a table?

Back

Divide the value of y by the value of x for any pair of corresponding values.

Front

What is the formula for a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

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

Back

The constant of proportionality is 3.

Front

What does a slope of a proportional graph represent?

Back

The slope represents the constant of proportionality between the two variables.

Front

How can you tell if a table represents a proportional relationship?

Back

Check if the ratios of y to x are the same for all pairs of values.

Front

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

Back

The cost of apples per pound is a proportional relationship if the price per pound remains constant.