Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It can be found by dividing one quantity by the other.

Front

If k = 1.50, what does this indicate about the relationship between the two variables?

Back

It indicates that for every unit increase in the independent variable, the dependent variable increases by 1.50 units.

Front

True or False: The horizontal axis is the y-axis.

Back

False. The horizontal axis is the x-axis.

Front

True or False: The vertical axis is the x-axis.

Back

False. The vertical axis is the y-axis.

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

Identify if the following table is proportional or non-proportional: (1, 2), (2, 4), (3, 6).

Back

Proportional. The constant of proportionality is 2.

Front

Which of the following represents a proportional relationship: (1, 3), (2, 6), (3, 9)?

Back

All pairs are proportional. The constant of proportionality is 3.

Front

What is the formula to find the constant of proportionality (k)?

Back

k = \frac{y}{x}, where y is the dependent variable and x is the independent variable.

Front

If a relationship is non-proportional, what does that imply about the ratios of the quantities?

Back

It implies that the ratios of the quantities 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.