Identifying 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 identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of corresponding values are equal.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity is multiplied to obtain the other quantity in a proportional relationship.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

What is the constant of proportionality if y = 150 when x = 1?

Back

The constant of proportionality is 150.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it show a proportional relationship?

Back

Yes, it shows a proportional relationship because the ratio of y to x is constant (2).

Front

If a table shows the values (1, 2), (2, 5), (3, 7), does it show a proportional relationship?

Back

No, it does not show a proportional relationship because the ratios are not constant.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x.

Front

If the constant of proportionality is 100, what is the value of y when x = 3?

Back

y = 100 * 3 = 300.

Front

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

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.