Chandler graphing proportional relationships

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 do you determine if a table represents a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

Front

What does it mean for a graph to be proportional?

Back

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

Front

How can you find the equation of a line from a table of values?

Back

You can find the equation by determining the constant of proportionality and using the form y = kx.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

Front

If a sloth moves 30 feet in 5 minutes, what is its speed in feet per minute?

Back

The speed is 6 feet per minute (30 feet / 5 minutes).

Front

What does it mean if a table is not proportional?

Back

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

Front

How do you identify the unit rate from a proportional table?

Back

The unit rate can be identified by dividing the output value by the input value for any pair of corresponding values.