Proportional Relationships with Tables

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 do you identify a proportional relationship in a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are the same for all pairs.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant ratio between two proportional quantities.

Front

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

Back

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

Front

What does it mean if a table does not represent 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

If 5 cups of sugar require 15 cups of flour, how much sugar is needed for 20 cups of flour?

Back

Using the constant of proportionality, k = 15/5 = 3. For 20 cups of flour, sugar needed = 20/3 = 6.67 cups.

Front

What is the formula to find the constant of proportionality?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If the constant of proportionality is 2, what is the value of B when A = 10?

Back

B = k * A = 2 * 10 = 20.

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.