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 does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as 'k' in the equation y = kx.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratios of corresponding values in the table are constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form 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 graph?

Back

The constant of proportionality can be found by determining the slope of the line that represents the proportional relationship on a graph.

Front

What is the relationship between weight and price in a proportional relationship?

Back

In a proportional relationship, if weight increases, the price increases at a constant rate, which can be expressed as p = kw, where k is the constant of proportionality.

Front

What does the variable 'k' represent in the equation y = kx?

Back

In the equation y = kx, 'k' represents the constant of proportionality.

Front

If a table shows that 2 hours corresponds to 90 miles and 4 hours corresponds to 180 miles, what is the constant of proportionality?

Back

The constant of proportionality is 45 miles per hour.

Front

How can you write an equation from a proportional relationship given a constant of proportionality?

Back

You can write the equation in the form y = kx, substituting 'k' with the constant of proportionality.