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 can you determine if a graph represents a proportional relationship?

Back

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

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity per one unit of another quantity.

Front

If you travel 150 miles on 5 gallons of gas, what is the unit rate of miles per gallon?

Back

30 miles per gallon.

Front

What does it mean if a table is not proportional?

Back

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

Front

What is the equation of a line in a proportional relationship?

Back

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

Front

If a sloth moves 30 feet in 10 minutes, how far will it move in 5 minutes?

Back

15 feet.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

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

Back

Divide the output value by the input value for any pair of corresponding values.

Front

What does it mean for a graph to not be proportional?

Back

It means the graph does not form a straight line through the origin.