Unit 4 Unit Rate and Proportions

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 one unit. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

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

Back

To find the unit rate, divide the total cost by the quantity. For example, if 3 pounds of granola cost $3.75, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if the ratio of dogs to cats is 5:3, then the proportion can be written as 5/3 = number of dogs/number of cats.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide. For example, if 5/3 = 25/c, then cross-multiply to get 5c = 75, and then divide to find c = 15.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

How do you determine which deal is better when comparing prices?

Back

To determine which deal is better, calculate the unit price for each option. The option with the lower unit price is the better deal.

Front

What is the ratio of dogs to cats if there are 25 dogs and 15 cats?

Back

The ratio of dogs to cats is 25:15, which can be simplified to 5:3.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the unit rate of flour to sugar?

Back

The unit rate of flour to sugar is 2/3 cups of flour per cup of sugar.

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.