Proportional Relationships Flashcard

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how many units of one quantity correspond to one unit of another quantity.

Front

How do you find the unit rate from a given quantity?

Back

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

Front

What does the equation p=0.8L represent in a real-world context?

Back

The equation p=0.8L represents the price (p) in dollars of nylon rope that is L meters long, where the cost per meter is $0.80.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between two quantities is constant and it passes through the origin (0,0) on a graph.

Front

What is the unit rate for a job that pays $56 for 8 hours of work?

Back

The unit rate is $56 ÷ 8 hours = $7 per hour.

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, it means that the ratios of the quantities are not constant, and it may not pass through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero, maintaining a constant ratio.

Front

How can you check if a table of values is proportional?

Back

To check if a table of values is proportional, calculate the ratios of the corresponding values and see if they are all equal.

Front

What is an example of a proportional relationship in everyday life?

Back

An example of a proportional relationship is the cost of apples at a store, where the price per pound remains constant regardless of the number of pounds purchased.

Front

What is the formula for finding the price of an item based on its length?

Back

The formula is p = rL, where p is the price, r is the rate per unit length, and L is the length.