Constant of Proportionality - Graphs & Tables (no equations)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

How can you identify the constant of proportionality from a table?

Back

To find the constant of proportionality in a table, divide the values of one column by the corresponding values in another column. If the ratio is constant, that value is the constant of proportionality.

Front

What does a proportional relationship look like on a graph?

Back

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

Front

What does it mean if a graph does not start at the origin?

Back

If a graph does not start at the origin, it indicates a non-proportional relationship, meaning the ratio between the quantities is not constant.

Front

How do you determine if a relationship is proportional using a ratio table?

Back

A relationship is proportional if the ratios of corresponding values are equal across the table.

Front

What is an example of a constant of proportionality in a real-world scenario?

Back

An example is the relationship between distance and time when traveling at a constant speed; the speed is the constant of proportionality.

Front

What is the constant of proportionality if the table shows values 3 and 12?

Back

The constant of proportionality is 4, since 12 divided by 3 equals 4.

Front

How can you find the missing value in a ratio table?

Back

To find a missing value, use the known values to set up a proportion and solve for the unknown.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph may be curved or straight but does not pass through the origin, indicating that the relationship is not constant.

Front

If a graph has a constant of proportionality of 2, what does this mean?

Back

It means that for every unit increase in the x-value, the y-value increases by 2 units.