Proportional Relationships

Front

What does k represent in the equation y = kx?

Back

k represents the constant of proportionality.

Front

Is the given table a proportional relationship? If so, write an equation that relates y to x: (Example Table: x: 1, 2, 3; y: 3, 6, 9)

Back

Yes; y = 3x.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

Which equation represents a proportional relationship? (Options: y = x + 3, y = x - 9, y = 7x, y = 4x + 1)

Back

y = 7x.

Front

Is this graph proportional? (Provide a graph showing a straight line through the origin)

Back

Yes.

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 do you determine if a table represents a proportional relationship?

Back

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

Front

What is the formula for finding the constant of proportionality from a proportional relationship?

Back

k = y/x.

Front

If y = 5x, what is the value of y when x = 4?

Back

y = 20.

Front

What does it mean if a graph passes through the origin?

Back

It indicates a proportional relationship between the variables.