Proportional Graphs

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 identify a proportional graph?

Back

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

Front

What does the point (x, y) represent in a graph?

Back

The point (x, y) represents the value of the dependent variable (y) when the independent variable (x) is at a specific value.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of the two quantities in a proportional relationship, often represented as k in the equation y = kx.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship.

Front

What is the significance of the slope in a proportional graph?

Back

The slope of a proportional graph represents the constant ratio between the two quantities.

Front

How do you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are constant.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph may be a curve or a straight line that does not pass through the origin.

Front

If a canoe rental company charges $12 for 1 hour, what is the cost for 3 hours?

Back

The cost for 3 hours would be $36, as it is a proportional relationship (12 * 3 = 36).

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is a situation where a fixed fee is added to a variable cost, such as a taxi fare that includes a base charge plus a per-mile charge.