7 Lesson 17: Unit Rate and Proportions Word Problems

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the unit cost per item?

Back

To calculate the unit cost per item, divide the total cost by the number of items. For example, if 15 pizzas cost $97.50, the unit cost per pizza is $97.50 ÷ 15 = $6.50.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a person hits 88 homeruns in 40 games, how do you find the rate of homeruns per game?

Back

To find the rate of homeruns per game, divide the total number of homeruns by the number of games. In this case, 88 homeruns ÷ 40 games = 2.2 homeruns per game.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the unit rate of 18 houses on 2 blocks?

Back

To find the unit rate, divide the number of houses by the number of blocks. So, 18 houses ÷ 2 blocks = 9 houses per block.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine how many gallons flow from a faucet in a given time?

Back

To determine how many gallons flow in a given time, first find the rate (gallons per second) and then multiply by the total time in seconds.

Tags

CCSS.6.RP.A.3B

Front

What is the formula to find the total cost when given the unit cost and quantity?

Back

The formula is: Total Cost = Unit Cost × Quantity. For example, if the unit cost is $6.50 and the quantity is 15, then Total Cost = $6.50 × 15 = $97.50.

Tags

CCSS.6.RP.A.3B

Front

If water flows at a rate of 5 gallons every 25 seconds, what is the unit rate in gallons per second?

Back

To find the unit rate, divide the gallons by the seconds: 5 gallons ÷ 25 seconds = 0.2 gallons per second.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean to solve a proportion?

Back

Solving a proportion means finding the value of a variable that makes two ratios equal. For example, if a/b = c/d, you can find the value of a, b, c, or d.

Tags

CCSS.7.RP.A.2C

Front

How can you express a rate as a fraction?

Back

A rate can be expressed as a fraction by placing the two quantities in a ratio format. For example, if you have 10 apples for $5, the rate can be expressed as 10 apples/$5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to set up proportions, which are equations that show two ratios are equal. This helps in solving problems involving rates.

Tags

CCSS.6.RP.A.3C