Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, represented as y = kx.

Front

How can you identify the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does the constant of proportionality represent in a linear equation?

Back

In a linear equation of the form y = kx, the constant of proportionality (k) represents the rate of change or the slope of the line.

Front

What is the significance of the origin in a proportional graph?

Back

A proportional graph is a straight line that passes through the origin (0,0), indicating that when x is 0, y is also 0.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What does a straight line that does not pass through the origin indicate?

Back

A straight line that does not pass through the origin indicates a non-proportional relationship.

Front

In the equation y = 2.5x, what does 2.5 represent?

Back

The number 2.5 represents the cost of 1 pound of the item being measured.

Front

How do you determine if a relationship is proportional from a graph?

Back

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

Front

What is the constant of proportionality in the equation y = 3x + 2?

Back

The relationship is not proportional because it does not pass through the origin; the constant of proportionality is not defined.

Front

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

Back

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