Unit Rates & Proportional Data Tables Review

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate the price per ounce?

Back

To calculate the price per ounce, divide the total price by the number of ounces. For example, if a 12-ounce can costs $1.92, the price per ounce is $1.92 ÷ 12 = $0.16.

Front

What is proportional data?

Back

Proportional data refers to a relationship between two quantities where the ratio of the two quantities remains constant. For example, if 2 apples cost $1, then 4 apples will cost $2, maintaining the same ratio.

Front

How do you determine the better buy between two products?

Back

To determine the better buy, calculate the unit price (price per item or price per ounce) for each product and compare them. The product with the lower unit price is the better buy.

Front

What is the formula for finding the total cost based on unit price?

Back

The total cost can be found using the formula: Total Cost = Unit Price × Quantity. For example, if the unit price is $5 and you buy 3 items, the total cost is $5 × 3 = $15.

Front

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

Back

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

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship where two quantities increase or decrease at the same rate. For example, if you double the number of items, the total cost also doubles.

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, create a fraction that compares two ratios. For example, if you know that 2 apples cost $1 and you want to find the cost of 5 apples, set up the proportion: 2/1 = 5/x, then solve for x.

Front

What is the significance of unit rates in real-life situations?

Back

Unit rates help consumers make informed decisions by comparing prices and understanding costs per unit, such as price per ounce, price per item, or price per pound.

Front

How can you use a table to represent proportional relationships?

Back

A table can show the relationship between two quantities, with one column representing the independent variable (e.g., number of items) and the other representing the dependent variable (e.g., total cost). Each row should maintain a consistent ratio.