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 (k) is the constant value that relates two proportional quantities, often represented as y = kx.

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 one quantity by the corresponding value of the other quantity for any pair of values.

Front

If Dan charges $15 per hour for walking dogs, how much does he charge for 5 hours?

Back

Dan charges $75 for 5 hours, calculated as 15 * 5.

Front

What is the equation of a proportional relationship if the constant of proportionality is 4?

Back

The equation is y = 4x.

Front

How do you determine the slope from two points in a proportional relationship?

Back

The slope (m) can be determined using the formula m = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

Front

What does the slope represent in a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

What is the relationship between the slope and the constant of proportionality?

Back

In a proportional relationship, the slope is equal to the constant of proportionality (k).

Front

How can you verify if a relationship is proportional using a graph?

Back

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

Front

What is the formula for finding the missing value in a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.