Proportional Relationships Equations

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

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is y = mx, where m is the constant of variation.

Front

What does the constant of variation represent in the equation y = mx?

Back

The constant of variation (m) represents the rate at which y changes with respect to x.

Front

If y = 3x, what is the constant of variation?

Back

The constant of variation is 3.

Front

How do you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values (y/x) are constant.

Front

Write the equation for the proportional relationship represented by the table: (1, 2), (2, 4), (3, 6).

Back

y = 2x.

Front

What is the slope in the equation y = 5x?

Back

The slope is 5.

Front

If y = 1/4x, what happens to y when x is doubled?

Back

When x is doubled, y also doubles.

Front

What is the graph of a proportional relationship?

Back

The graph of a proportional relationship is a straight line that passes through the origin.

Front

In the equation y = 14x, what does 14 represent?

Back

14 represents the constant of variation.