Proportional Relationships In Tables

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values (x/y) are the same for all pairs.

Front

What does it mean if a table is non-proportional?

Back

A non-proportional table means that the ratios of the values do not remain constant.

Front

What is the y-intercept in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of y when x is 0.

Front

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

Back

Yes, because the ratio of y to x is constant (y/x = 2 for all pairs).

Front

What is the formula for finding a proportional relationship?

Back

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

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

If a table has values (1, 2), (2, 5), (3, 7), is it proportional?

Back

No, because the ratios of y to x are not constant.

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.

Front

How can you graph a proportional relationship?

Back

You can graph a proportional relationship by plotting the points from the table and drawing a straight line through the origin.