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

Define constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often expressed in the equation p = kw.

Front

How do you find the constant of proportionality from an equation?

Back

To find the constant of proportionality, isolate k in the equation p = kw, which gives k = p/w.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 405 rotations occur in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

What does it mean if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a straight line, indicating a constant ratio between the two variables.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is typically written as p = kw, where p is the dependent variable, w is the independent variable, and k is the constant of proportionality.

Front

If a job pays $56 for 8 hours of work, how much does it pay per hour?

Back

The job pays $7 per hour, calculated by dividing $56 by 8 hours.

Front

What does the point (2, 94) represent in a proportional relationship?

Back

The point (2, 94) represents that after 2 weeks, they save $94.

Front

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

Back

A relationship is proportional if the ratios of corresponding values are constant across the table.