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 scale factor?

Back

The number that scales, or multiplies, a quantity in a proportional relationship.

Front

What is the constant of proportionality?

Back

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

Front

In the equation y = kx, what does k represent?

Back

The constant of proportionality.

Front

How do you determine if a table of values is proportional?

Back

Check if the ratios of corresponding values are constant.

Front

What does it mean for two figures to be similar?

Back

They have the same shape but may differ in size, and their corresponding sides are in proportion.

Front

If y = 14x, what is the constant of proportionality?

Back

14

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

2:3 or 2/3.

Front

What is the relationship between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another.

Front

If the scale factor is 1/3, what does that mean for the size of a figure?

Back

The figure is reduced to one-third of its original size.