Proportional Relationships/Direct Variation

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

Define direct variation.

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, expressed as y = kx, where k is the constant of variation.

Front

What is the constant of variation in a direct variation equation?

Back

The constant of variation (k) is the ratio of y to x in the equation y = kx.

Front

How do you determine if a set of values represents a function?

Back

A set of values represents a function if each input (x-value) is paired with exactly one output (y-value).

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for that function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that result from the function.

Front

How can you identify a direct variation from a table of values?

Back

A direct variation can be identified if the ratio of y to x is constant for all pairs of values.

Front

What does a proportional graph look like?

Back

A proportional graph is a straight line that passes through the origin (0,0).

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the total quantity by the number of units to find the amount per one unit.