proportional relationships

Front

What is a unit rate?

Back

A unit rate is a rate in which the unit in the denominator is 1.

Front

What is the equation of a proportional relationship represented by a straight line through the origin?

Back

y = kx, where k is the constant of proportionality.

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

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the dependent variable to the independent variable in a proportional relationship.

Front

How can you identify a proportional relationship from a table of values?

Back

If the ratios of corresponding values are constant, the relationship is proportional.

Front

What is the unit rate of 80 miles in 2 hours?

Back

40 miles in 1 hour.

Front

What does a straight line on a graph indicate?

Back

A straight line indicates a linear relationship between the variables.

Front

What is the difference between linear and non-linear graphs?

Back

Linear graphs represent proportional relationships, while non-linear graphs do not.

Front

If y = 3x, what is the unit rate?

Back

The unit rate is 3.

Front

What does it mean if a graph is linear but not proportional?

Back

It means the line is straight but does not pass through the origin.