Proportional Relationships Review

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 value (k) that relates two proportional quantities, often represented in the equation p = kw.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

If the constant of proportionality is 0.45, what is the equation relating weight (w) to price (p)?

Back

p = 0.45w.

Front

In the equation y = 14x, what does 14 represent?

Back

14 represents the constant of proportionality.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratio of the corresponding values remains constant.

Front

How can you determine if a graph represents a proportional relationship?

Back

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

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

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

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

Back

Yes, it is proportional because the ratio of y to x is constant (y/x = 2).