Constant of Proportionality (Tables & Graphs)

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

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

Back

To find the constant of proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

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

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, showing how much y changes for a unit change in x.

Front

What is the constant of proportionality if y = 3x?

Back

The constant of proportionality is 3.

Front

Is the relationship between x and y proportional if y = 2x + 1?

Back

No, this relationship is not proportional because it does not pass through the origin.

Front

What is the constant of proportionality for the table: (1, 3), (2, 6), (3, 9)?

Back

The constant of proportionality is 3.

Front

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

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If a graph shows a straight line through the origin, what can you conclude?

Back

You can conclude that there is a proportional relationship between the two variables.