Proportional or Nonproportional

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. This means that as one quantity changes, the other does not change at a consistent rate.

Front

How can you identify a proportional relationship on a graph?

Back

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

Front

How can you identify a non-proportional relationship on a graph?

Back

A non-proportional relationship on a graph is represented by a straight line that does not pass through the origin or a curve.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin, it indicates a proportional relationship between the two variables.

Front

What is the constant of proportionality?

Back

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

Front

If a machine packs boxes at a rate of 2/3 a box every 1/2 minute, how many boxes does it pack in one minute?

Back

4/3 boxes.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a store sees 120 customers in 8 hours, what is the constant of proportionality?

Back

15 customers per hour.

Front

What does it mean if a graph is a straight line?

Back

A straight line on a graph indicates a linear relationship, which can be either proportional or non-proportional depending on whether it passes through the origin.