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Unit Rates

Unit Rates. Lesson 6-2. Vocabulary. A rate is a ratio that compares two quantities measured in different units. The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1. Examples. Rate:. 150 heartbeats. 2 minutes. Unit Rate ( Divide to get it):.

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Unit Rates

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  1. Unit Rates Lesson 6-2

  2. Vocabulary • A rate is a ratio that compares two quantities measured in different units. • The unit rate is the rate for one unit of a given quantity. Unit rates have a denominator of 1.

  3. Examples Rate: 150 heartbeats 2 minutes Unit Rate (Divide to get it): 150 ÷ 2 = 75 heartbeats per minute.

  4. Find the Unit Rate Amy can read 88 pages in 4 hours. What is the unit rate? (How many pages can she read per hour?) 88 pages 22 pages / hour 4 hours

  5. You Try: don’t forget to divide. • Find the unit rate for each situation. • 120 miles in 2 hours • $2.37 for 3 pounds of grapes • Which of the following rates, or , is a unit rate? Explain.

  6. Using Unit Rates • You can find the missing terms of equal ratios. • Use the unit rate, and set it equal to another ratio. • Solve for what is missing by dividing or multiplying.

  7. Example Joe’s car goes 25 miles per gallon of gasoline. How far can it go on 8 gallons of gasoline? x 8 25 miles = Unit Rate 8 gallons 1 gallon x 8 25 x 8 = 200. Joe’s car can go 200 miles on 8 gallons of gas.

  8. You Try: • Write the unit rate as a ratio. Then find an equal ratio. • You earn $5.25 in 1 hour. How much do you earn in 5 hours? • You type 25 words per minute. How many words can you type in 10 minutes?

  9. Comparing Unit Prices • Use division to find the unit prices of the two products in question. • The unit rate that is smaller (costs less) is the better value.

  10. Example Juice is sold in two different sizes. A 48-fluid ounce bottle costs $2.07. A 32-fluid ounce bottle costs $1.64. Which is the better buy? $2.07 $0.04 per fl.oz. 0.043125 48 fl.oz. $1.64 $0.05 per fl.oz. 0.05125 32 fl.oz. The 48 fl.oz. bottle is the better value.

  11. Lets Try Another: • Find the unit price to determine the better buy. • Yogurt: 6 ounces for $.68 32 ounces for $2.89

  12. You Try: • Find the unit price to determine the better buy. • Phone call: 3 minutes for $.42 15 minutes for $1.35 How can all of this help you go grocery shopping?

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