Proportional Relationships

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

Front

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

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

If a job pays $80 for 10 hours of work, how much does it pay per hour?

Back

$8 per hour.

Front

What does it mean if a graph does not represent a proportional relationship?

Back

If a graph does not represent a proportional relationship, it means that the ratio of y to x is not constant, and the graph does not pass through the origin.

Front

In the equation y = 5x, what does the number 5 represent?

Back

The number 5 represents the constant of proportionality.

Front

If the constant of proportionality is 4, what is the value of y when x = 6?

Back

y = 4 * 6 = 24.