COP from table and graph

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 determine if a relationship is proportional?

Back

A relationship is proportional if the ratio of the two quantities remains constant.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

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

Back

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

Front

If the constant of proportionality is 9, what is the relationship between x and y?

Back

If the constant of proportionality is 9, then for every unit increase in x, y increases by 9.

Front

What is the constant of proportionality in the equation y = ½x?

Back

The constant of proportionality in the equation y = ½x is ½.

Front

What does it mean if a table shows a proportional relationship?

Back

If a table shows a proportional relationship, the ratio of y to x is constant for all pairs of values.

Front

How can you identify a nonproportional relationship?

Back

A nonproportional relationship can be identified if the ratios of y to x are not constant.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

If x = 3 and y = 27, what is the constant of proportionality?

Back

The constant of proportionality is 9, since 27/3 = 9.