Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant of proportionality?

Back

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

Front

What does the equation y = kx represent?

Back

It represents a linear relationship where y is directly proportional to x.

Front

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

Back

Check if the ratios of corresponding values are constant.

Front

What is an example of a proportional relationship in real life?

Back

The relationship between distance and time when traveling at a constant speed.

Front

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

Back

3

Front

What does 'k' represent in the equation y = kx?

Back

The constant of proportionality.

Front

Is the relationship between the number of hours worked and the amount earned proportional if you earn $15 per hour?

Back

Yes, it is proportional.

Front

If a table shows (2, 6), (4, 12), (6, 18), is it proportional?

Back

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

Front

What is the formula to find the constant of proportionality from a table?

Back

k = y/x for any pair of values (x, y).