Proportional Relationships Review

Front

What is a direct variation equation?

Back

A direct variation equation is a linear equation of the form y = kx, where k is a non-zero constant. It shows that y varies directly with x.

Front

Is y = -6x a direct variation equation?

Back

Yes, it is a direct variation equation because it can be expressed in the form y = kx.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and represents a constant ratio between the two variables.

Front

Is this graph proportional or non-proportional?

Back

Proportional.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as 'x per 1 y'.

Front

If there are 15 cartons of toys and 5 toys in each carton, what is the unit rate?

Back

5 toys/carton.

Front

What is the relationship between two variables in a proportional relationship?

Back

In a proportional relationship, as one variable increases, the other variable increases at a constant rate.

Front

If a person reads 3 pages per minute, how many pages do they read in 15 minutes?

Back

45 pages.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If y varies directly with x and k = 4, what is the equation?

Back

y = 4x.