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

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

If y = 2x, what is the constant of proportionality?

Back

2

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What is the formula for finding the constant of proportionality from a table?

Back

k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

If x = 3 and y = 12, what is the constant of proportionality?

Back

4

Front

What does it mean if a graph is a straight line through the origin?

Back

It means that the relationship between the two variables is proportional.

Front

In the equation y = 1/3x, what is the constant of proportionality?

Back

1/3

Front

If a table shows (2, 6), (4, 12), (6, 18), is it proportional?

Back

Yes, because the ratio of y to x is always 3.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.