Unit Rates & Proportional Data Tables Review

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 much of one quantity corresponds to one unit of another quantity, often expressed as 'per' something.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if the total cost is $3.75 for 3.25 pounds of granola, the unit rate is calculated as $3.75 ÷ 3.25 = $1.15 per pound.

Front

What does it mean for two quantities to have a proportional relationship?

Back

Two quantities have a proportional relationship if they maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities. It is the factor by which one quantity must be multiplied to obtain the other.

Front

If 15 pizzas cost $97.50, how much would 25 pizzas cost?

Back

To find the cost of 25 pizzas, first find the unit rate: $97.50 ÷ 15 = $6.50 per pizza. Then multiply by 25: $6.50 × 25 = $162.50.

Front

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

Back

To determine if a relationship is proportional from a table, check if the ratios of corresponding values are constant. If they are not constant, the relationship is not proportional.

Front

What is the formula to find the total cost based on unit rate and quantity?

Back

The formula to find total cost is: Total Cost = Unit Rate × Quantity.

Front

If the cost of 12 pieces of chicken is $24, what is the cost per piece?

Back

To find the cost per piece, divide the total cost by the number of pieces: $24 ÷ 12 = $2 per piece.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is when the cost of items does not increase at a constant rate, such as a bulk discount where the price per item decreases as more items are purchased.

Front

How can you represent a proportional relationship using a graph?

Back

A proportional relationship can be represented on a graph as a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.