Graphing Proportions

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

What does the point (2,6) represent in a graph showing a proportional relationship between cans and tennis balls?

Back

There are 6 tennis balls in 2 cans.

Front

What is the equation that relates distance (y) and time (x) if Marco bikes 15 miles per hour?

Back

y = 15x

Front

Can a graph that passes through (0, 5) represent a proportional relationship?

Back

No; the graph of a proportional relationship must pass through (0, 0).

Front

What does it mean if a graph is a straight line through the origin?

Back

It indicates a proportional relationship between the two variables.

Front

If Melanie buys 2 shells for $0.80, what is the cost per shell?

Back

$0.40 per shell.

Front

What is the constant of proportionality in the equation y = 15x?

Back

The constant of proportionality is 15.

Front

How can you determine if a relationship is proportional from a table of values?

Back

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

Front

What is the formula for finding the constant of proportionality (k)?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does it mean if a relationship is not proportional?

Back

It means that the ratio between the two quantities is not constant.