Identify Proportional Relationships in Tables and Equations

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 can you identify if a table represents a proportional relationship?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

What does it mean if a table is non-proportional?

Back

A table is non-proportional if the ratios of corresponding values are not constant.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity in a proportional relationship.

Front

If triangle ABC has a scale factor of 2 to triangle DEF, what does this mean?

Back

It means that each side of triangle DEF is twice the length of the corresponding side of triangle ABC.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values.

Front

What does the equation y = 15x represent in a real-world context?

Back

It represents a situation where for every yoga class (x), the cost (y) is $15.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope represents the constant of proportionality and indicates how much y changes for a unit change in x.