Proportionality in Tables and Graphs

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a constant rate of change.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratio of the values in one column to the values in another column is constant.

Front

How do you find the unit rate from a table?

Back

To find the unit rate, divide the value in one column by the corresponding value in the other column.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k'.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What is the unit rate for 10 miles in 2 hours?

Back

The unit rate is 5 miles per hour.

Front

How can you tell if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal.

Front

What is the slope of a proportional graph?

Back

The slope of a proportional graph is equal to the constant of proportionality.

Front

If a table shows (2, 4), (3, 6), and (4, 8), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (2:1).

Front

What is an example of a proportional relationship in real life?

Back

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