Unit Rate (Word Problems, Tables, Graphs and Equations)

Front

What is a unit rate?

Back

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

Front

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

Back

A table represents a proportional relationship if the ratio of the two quantities is constant.

Front

What does the coordinate (0,0) represent in a graph?

Back

The coordinate (0,0) represents the origin, where both x and y values are zero.

Front

What is the origin in a coordinate plane?

Back

The origin is the point (0,0) in a coordinate plane where the x-axis and y-axis intersect.

Front

Which equation represents a proportional relationship?

Back

An equation of the form y = kx, where k is a constant, represents a proportional relationship.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin.

Front

If a graph shows a straight line that does not pass through the origin, is it proportional?

Back

No, if a graph does not pass through the origin, it does not represent a proportional relationship.

Front

What is the constant of proportionality?

Back

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

Front

How can you find the unit rate from a word problem?

Back

To find the unit rate, divide the quantity of one item by the quantity of another item, ensuring the second quantity is one.

Front

What is an example of a unit rate in a real-world context?

Back

An example of a unit rate is driving 60 miles in 1 hour, which can be expressed as a speed of 60 miles per hour.