Rates and Proportionality

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction or a decimal.

Front

What does proportional mean in mathematics?

Back

Proportional means that two quantities maintain a constant ratio or relationship to each other.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities.

Front

If 3 pounds of hamburger costs $6, how much does 1 pound cost?

Back

$2 per pound.

Front

How do you find the total cost when given a rate?

Back

Multiply the rate by the quantity purchased.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Total Cost.

Front

If a graph shows a straight line through the origin, what does it indicate?

Back

It indicates a proportional relationship between the two variables.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

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

Back

If the ratio of y to x is constant for all pairs of values, the relationship is proportional.

Front

What is an example of a non-proportional relationship?

Back

A relationship where one quantity increases but the other does not maintain a constant ratio, such as a flat fee plus a variable cost.