Topic 2 Test Math 2): Proportional Relationships

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a single unit. For example, if 14 inches of rain falls in 7 hours, the unit rate is 2 inches per hour.

Front

How do you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change, meaning the ratio of the y-value to the x-value is the same for all points.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin, indicating that as one quantity increases, the other quantity increases at a constant rate.

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 can you prove that a table of values is proportional?

Back

To prove that a table of values is proportional, check if the ratio of y to x is constant for all pairs of values.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities in the equation y = kx.

Front

If 18.50 is the constant of proportionality, what is the unit rate for the relationship?

Back

The unit rate is 18.50, meaning for every 1 unit of x, y increases by 18.50.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship does not pass through the origin and does not have a constant rate of change, resulting in a curve or a line that does not maintain a consistent ratio.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number to express one quantity as a single unit.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound, such as $2 per pound.