Proportions and Unit Rates

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 can you determine if a table represents a proportional relationship?

Back

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

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour, dollars per item).

Front

If a table shows x values of 1, 2, 3 and corresponding y values of 2, 4, 6, what can be concluded?

Back

This table shows a proportional relationship because the ratio of y to x is constant (2:1).

Front

What is the unit rate of 2 to 1?

Back

The unit rate of 2 to 1 is 2, meaning for every 1 unit of the second quantity, there are 2 units of the first quantity.

Front

What does it mean if a statement is 'false' regarding proportional relationships?

Back

It means that the relationship does not maintain a constant ratio between the two quantities.

Front

How do you find a missing value in a proportion?

Back

You can find a missing value in a proportion by cross-multiplying and solving for the unknown.

Front

What is an example of a situation that represents a proportional relationship?

Back

Renting a movie for $1.00 per day is an example of a proportional relationship, as the cost increases linearly with time.

Front

What is the significance of the constant of proportionality?

Back

The constant of proportionality is the ratio that defines the relationship between two proportional quantities.

Front

How can you express a proportional relationship using an equation?

Back

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