1.7 Proportional Relationships

Front

What makes a graph proportional?

Back

A graph is proportional if it is linear and the line goes through the origin.

Front

Is the graph with points (1,2), (2,4), (3,6) proportional?

Back

Yes, this graph is proportional.

Front

Is the graph with points (1,2), (2,3), (3,4) proportional or non-proportional?

Back

Non-proportional.

Front

Why does a graph show a non-proportional relationship?

Back

A graph shows a non-proportional relationship if it does not go through the origin.

Front

The constant of proportionality in the equation y = ½x is _______.

Back

1/2

Front

What is the definition of proportional relationships?

Back

Proportional relationships are relationships where two quantities maintain a constant ratio.

Front

If y = kx, what does k represent?

Back

k represents the constant of proportionality.

Front

What is the graphical representation of a proportional relationship?

Back

A straight line that passes through the origin.

Front

How can you determine if a table of values represents a proportional relationship?

Back

If the ratio of y to x is constant for all pairs of values.

Front

What is an example of a proportional relationship in real life?

Back

The relationship between distance and time at a constant speed.