24/25 U4 L3 Proportional Relationships from a Table Dec 10

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

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

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

Back

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

Front

If the constant of proportionality is 3, what does this mean?

Back

It means that for every unit increase in one quantity, the other quantity increases by 3 times that amount.

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant of proportionality expressed as a ratio of one quantity to one unit of the other quantity.

Front

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

Back

Yes, because the ratios (2:6, 4:12, 6:18) all simplify to 1:3.

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If the constant of proportionality is 45, what does this imply in a real-world context?

Back

It implies that for every unit of the independent variable, the dependent variable increases by 45 units.

Front

What does it mean if a table is not proportional?

Back

It means that the ratios of the quantities are not constant, indicating a non-linear relationship.

Front

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

Back

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