Proportional Relationships

Front

What is a Proportional Relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the Constant of Proportionality?

Back

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

Front

How do you find the Constant of Proportionality from a table?

Back

Divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where y is directly proportional to x with k as the constant of proportionality.

Front

If y = 3x, what is the Constant of Proportionality?

Back

3

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles.

Front

What is the relationship between x and y if y = 2x?

Back

Proportional.

Front

If the Constant of Proportionality is 1/2, what is the equation for y when x = 4?

Back

y = 2.

Front

What does it mean if two quantities are not proportional?

Back

Their ratio is not constant; as one quantity changes, the other does not change at a constant rate.

Front

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

Back

The graph is a straight line that passes through the origin (0,0).