Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant for all pairs of values in a proportional relationship.

Front

How do you identify a proportional relationship in a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does a proportional table look like?

Back

A proportional table has values that maintain a constant ratio. For example, if x and y are proportional, then for every increase in x, y increases by a consistent factor.

Front

If the constant of proportionality is 8, what does this mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 8 times that amount.

Front

What is the constant of proportionality if y = 4x?

Back

The constant of proportionality is 4.

Front

If a table shows the values (1,2), (2,4), (3,6), what is the constant of proportionality?

Back

The constant of proportionality is 2, as y = 2x.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

If a graph has points (1,3), (2,6), (3,9), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (k = 3).

Front

What does it mean if the constant of proportionality is negative?

Back

A negative constant of proportionality indicates an inverse relationship, where as one variable increases, the other decreases.

Front

How can you tell if a table is not proportional?

Back

If the ratios of y to x are not constant across the table, then it is not proportional.