Proportional Relationships

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 quantity is constant.

Front

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

Back

A table represents a proportional relationship if the ratios of the corresponding values are the same.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented by 'k' in the equation y = kx.

Front

What does the equation y = mx represent?

Back

In the equation y = mx, 'm' represents the slope or constant of proportionality, and 'x' is the independent variable.

Front

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

Back

The constant of proportionality is 3.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

Is the relationship between distance and time at a constant speed proportional?

Back

Yes, the relationship between distance and time at a constant speed is proportional.

Front

If a table shows values (1, 3), (2, 6), (3, 9), is it proportional?

Back

Yes, because the ratio of y to x is constant (3 in this case).

Front

What is the slope of the line represented by the equation y = 1/2x?

Back

The slope of the line is 1/2.

Front

How do you find the equation of a proportional relationship from a table?

Back

To find the equation, determine the constant of proportionality (k) and use the form y = kx.