Proportionality in Tables and Graphs

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 determine if a table is proportional?

Back

You can determine if a table is proportional by checking if the ratios of corresponding values are equal.

Front

What is the constant of proportionality?

Back

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

Front

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

Back

The constant of proportionality is 3.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = 4 * 5 = 20.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

Is the relationship between the number of items and total cost proportional if the cost per item is constant?

Back

Yes, if the cost per item is constant, the relationship is proportional.

Front

If a table shows the values (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, the ratios (y/x) are all equal to 2.

Front

What is the total cost of tickets if each ticket costs $75 and there are 7 adults?

Back

Total cost = 7 * $75 = $525.