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

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

Back

A table represents a proportional relationship if the ratios of the corresponding values are equal.

Front

What is a unit rate?

Back

A 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 find the unit rate from a given total?

Back

To find the unit rate, divide the total quantity by the number of units.

Front

What is the constant of proportionality?

Back

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

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form p = kw, where p is the price, w is the weight, 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

$7 per hour.

Front

What is the formula to find the constant of proportionality (k)?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If 405 rotations occur in 5 minutes, what is the unit rate in rotations per minute?

Back

81 rotations per minute.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.