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Unit Rate Notes Thurs/Fri 1/30,31 Absent copy. Vocabulary. rate unit rate unit price. A rate is a comparison of two quantities that have different units . It is usually written as a fraction. 90 , 90 : 3 , 90 to 3 3. Ratio:. Read as “ 90 miles per 3 hours. ”. 90 miles
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Unit Rate Notes Thurs/Fri 1/30,31 Absent copy
Vocabulary rate unit rate unit price
A rate is a comparison of two quantities that have different units. It is usually written as a fraction. 90 , 90 : 3 , 90 to 3 3 Ratio: Read as “90 miles per 3 hours.” 90 miles 3 hours Rate:
90 3 The ratio can be simplified by dividing: Unit rates are rates in which the second quantity is 1. It always needs to be 1 in the denominator. 90 3 30 1 = 30 miles, 1 hour unit rate: or 30 mi/h
Additional Example 1: Finding Unit Rates Jeff hikes mile every 15 minutes, or hour. Lisa hikes mile every 10 minutes, or hour. How far do they each hike in 1 hour? 2 hours? hourhourhourhour Use the bar diagram to help you determine how many miles Jeff hikes . How many hours are in 1 hour. Distance (mi) mile 1 mile 1 mile 2 miles 4 mile Time (h) 1 2 Use the bar diagram to help you determine how many miles Jeff hikes . How many hours are in 1 hour. hour hourhourhourhourhour Distance (mi) mile mile 1 mile 2 miles 4 mile Time (h) 1 2
Additional Example 1: Finding Unit Rates Fred can type 30 words in half a minute. How many words can he type in 1 minute? 30words min. Write a rate by making a fraction. Make a division problem then solve. 30 ÷ 30 · = 60 How many words can Fred type in a minute? Fred can type 60 words a minute
Example 2 Penelope can type 90 words in 2 minutes. How many words can she type in 1 minute? words90 min. 2 Write a rate by making a fraction. 90 = 45 2 Reduce your rate you made. How many words can Penelope type in one minute? Penelope can type 45 words a minute.
Unit price is a unit rate used to compare price per item. When writing as a fraction the price is always written in the numerator and the item in the denominator . money item
Example 3 Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $6.20. Which is the better buy? Find the unit price of the 5-pack by making a fraction and solving. Money$1.95 = .39¢ Items 5 pens 1 pen Find the unit price of the 15-pack by making a fraction and solving. Money$6.20 = .41¢ Items 15 pens 1 pen Which pack of pens is the better buy? The better buy is 5 pens for $1.95