Tables of proportional relationships

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the ratio of y to x in a proportional relationship, expressed as k = y/x.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratio of y to x is constant for all pairs of values.

Front

What is the equation that describes any proportional relationship?

Back

The equation is y = kx, where k is the constant of proportionality.

Front

If k = 2, what is the relationship between x and y?

Back

If k = 2, then for every unit increase in x, y increases by 2 units.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How can you tell if a table is not proportional?

Back

A table is not proportional if the unit rate (the ratio of y to x) changes for different pairs of values.

Front

What does the slope of a proportional relationship represent?

Back

The slope represents the constant of proportionality (k) in the equation y = kx.

Front

If a table shows 3 apples for 1 tree, what is the unit rate?

Back

The unit rate is 3 apples per tree.

Front

What is the significance of the origin (0,0) in a proportional relationship?

Back

In a proportional relationship, the line passes through the origin, indicating that when x = 0, y = 0.