Tables of 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 is constant.

Front

How do you identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio (k) that relates two proportional quantities, often expressed as k = y/x.

Front

If A is 4 and B is 12, what is the constant of proportionality?

Back

k = B/A = 12/4 = 3.

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratios of the corresponding values are not constant.

Front

How can you find a missing value in a proportional relationship?

Back

You can use the constant of proportionality to set up a proportion and solve for the missing value.

Front

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

Back

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

Front

If the constant of proportionality is 5, what is the value of B when A is 10?

Back

B = k * A = 5 * 10 = 50.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x.

Front

Which of the following tables shows a proportional relationship? (Provide a sample table)

Back

A table where the values of y are always a constant multiple of the values of x.