Unit 3, Lesson 2: Rates.

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Presentation transcript:

Unit 3, Lesson 2: Rates

Rates Rate: a ratio of two quantities measured in different units Examples of rates: 4 participants/2 teams 5 gallons/3 rooms 8 burgers/2 tomatoes

Unit Rates Unit rate: Rate with a denominator of one Often expressed with the word "per" Examples of unit rates: 34 miles/gallon 2 cookies per person 62 words/minute

Finding a Unit Rate Six friends have pizza together. The bill is $63. What is the cost per person? Hint: Since the question asks for cost per person, the cost should be first, or in the numerator. Since unit rates always have a denominator of one, rewrite the rate so that the denominator is one.

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Sixty cupcakes are at a party for twenty children Sixty cupcakes are at a party for twenty children. How many cupcakes per person? Answer: 3 cupcakes per person

John's car can travel 94. 5 miles on 3 gallons of gas John's car can travel 94.5 miles on 3 gallons of gas. How many miles per gallon can the car travel? Answer: 31.5 miles per gallon

The snake can slither 240 feet in half a day The snake can slither 240 feet in half a day. How many feet can the snake move in an hour? Answer: 20 feet in one hour

There are five chaperones at the dance of 100 students There are five chaperones at the dance of 100 students. How many students per chaperone are there? Answer: 20 students per chaperone

The recipe calls for 6 cups of flour for every four eggs The recipe calls for 6 cups of flour for every four eggs. How many cups of flour are needed for one egg? Answer: 1.5 cups of flour for one egg

Sarah rode her bike miles in hour. What is Sarah's unit rate in miles per hour? Answer: 19 miles

We often use unit rates to easily compare rates. Example: Sebastian and Alexandra both work during the summer. Sebastian worked 26 hours one week and earned $188.50 before taxes. Alexandra worked 19 hours and earned $128.25 before taxes. Who earns more per hour at their job? Sebastian Alexandra

16 Tahira and Brendan going running at the track. Tahira runs 3.5 miles in 28 minutes and Brendan runs 4 miles in 36 minutes. Who runs at a faster pace (miles per hour)? Show your work! A Tahira B Brendan Answer: A

17 Red apples cost $3.40 for ten. Green apples cost $2.46 for six. Which type of apple is cheaper per apple? Show your work! A Red apples B Green apples Answer: A

18 Fruity Oats is $2.40 for a 12 oz. box. Snappy Rice is $3.52 for a 16 oz. box. Which cereal is cheaper per ounce? Show your work! A Fruity Oats B Snappy Rice Answer: A