1-3 Convert Unit Rates The rate is 0.45 mile per minute. 1. A go-kart’s top speed is 607,200 feet per hour. What is the speed in miles per hour? SOLUTION: Use 1 mile = 5,280 feet to convert the rates. 3. A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly? SOLUTION: Use 1 kilometer = 1,000 meters to convert the rates. The rate is 322,000 meters per hour. The rate is 115 miles per hour. 2. The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run? SOLUTION: Use 1 hour = 60 minutes to convert the rates. The rate is 0.45 mile per minute. 3. A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly? SOLUTION: Use 1 kilometer = 1,000 meters to convert the rates. The Manual rate is -322,000 meters per eSolutions Powered by Cognero 4. A pipe is leaking at 1.5 cups per day. About how many gallons per week is the pipe leaking? (Hint: 1 gallon = 16 cups) SOLUTION: Use 1 gallon = 16 cups and 1 week = 7 days to convert the rates. The rate is 0.66 gallons per week. 5. Charlie runs at a speed of 3 yards per second. About how many miles per hour does Charlie run? SOLUTION: Use 1,760 yards = 1 mile, 60 seconds = 1 minute, and 60 minutes = 1 hour to convert the rates. hour. Page 1 The rate is 6.1 miles per hour. 4. A pipe is leaking at 1.5 cups per day. About how many gallons per week is the pipe leaking? (Hint: 1 6. Model with Mathematics Seth traveled 1 mile in 1-3 Convert Unit Rates The rate is 0.66 gallons per week. 5. Charlie runs at a speed of 3 yards per second. About how many miles per hour does Charlie run? SOLUTION: Use 1,760 yards = 1 mile, 60 seconds = 1 minute, and 60 minutes = 1 hour to convert the rates. The rate is 63 miles per hour. 7. The speed at which a certain computer can access the Internet is 2 megabytes per second. How fast is this in megabytes per hour? SOLUTION: Use 60 seconds = 1 minute, and 60 minutes = 1 hour to convert the rates. The rate is 6.1 miles per hour. 6. Model with Mathematics Seth traveled 1 mile in 57.1 seconds. About how fast does Seth travel in miles per hour? SOLUTION: Use 60 seconds = 1 minute, and 60 minutes = 1 hour to convert the rates. The rate is 63 miles per hour. 7. The speed at which a certain computer can access the Internet is 2 megabytes per second. How fast is this in megabytes per hour? SOLUTION: Use 60 seconds = 1 minute, and 60 minutes = 1 hour to convert the rates. The rate is 7,200 megabytes per hour. 8. Use Math Tools The approximate metric measurement of length is given for a U.S. customary unit of length. Use your estimation skills to complete the graphic organizer below. Fill in each blank with foot , yard, inch, or mile. SOLUTION: Compare the metric measures in the table with the customary measures. Centimeter is a small unit of measure, so 1 inch would be about 2.54 centimeters. I know that a meterstick is about 3 feet, so 0.30 meter would be approximately 1 foot. 1 meter is about 3 feet and 3 feet is equal to 1 yard, so 0.91 meter is about 1 yard. A kilometer is a large unit that often represents a city block. So, 1.61 kilometers is about 1 mile. eSolutions Manual - Powered by Cognero Page 2 13. 20 mi/h = The rate is 7,200 megabytes per hour. ft/min 1-3 Convert Unit Rates The rate is 7,200 megabytes per hour. 8. Use Math Tools The approximate metric measurement of length is given for a U.S. customary unit of length. Use your estimation skills to complete the graphic organizer below. Fill in each blank with foot , yard, inch, or mile. SOLUTION: Compare the metric measures in the table with the customary measures. Centimeter is a small unit of measure, so 1 inch would be about 2.54 centimeters. I know that a meterstick is about 3 feet, so 0.30 meter would be approximately 1 foot. 1 meter is about 3 feet and 3 feet is equal to 1 yard, so 0.91 meter is about 1 yard. A kilometer is a large unit that often represents a city block. So, 1.61 kilometers is about 1 mile. 13. 20 mi/h = ft/min SOLUTION: Use 1 mile = 5,280 feet and 1 hour = 60 minutes to convert the rates. 13. 20 mi/h = ft/min SOLUTION: Use 1 mile = 5,280 feet and 1 hour = 60 minutes to convert the rates. The rate is 1,760 feet per minute. 14. 16 cm/min = m/h SOLUTION: Use 1 meter = 100 centimeters and 1 hour = 60 minutes to convert the rates. The rate is 9.6 meters per hour. 15. 45 mi/h = ft/s SOLUTION: Use 1 mile = 5,280 feet and 1 hour = 3,600 seconds to convert the rates. The rate is 1,760 feet per minute. eSolutions Manual - Powered by Cognero 14. 16 cm/min = Page 3 m/h The rate is 66 feet per second. 1-3 Convert Unit Rates The rate is 9.6 meters per hour. 15. 45 mi/h = ft/s SOLUTION: Use 1 mile = 5,280 feet and 1 hour = 3,600 seconds to convert the rates. The rate is 15.6 meters per minute. 17. 24 mi/h = ft/s SOLUTION: Use 1 mile = 5,280 feet and 1 hour = 3,600 seconds to convert the rates. The rate is 35.2 feet per second. The rate is 66 feet per second. 16. 26 cm/s = m/min 18. 105.6 L/h = L/m SOLUTION: Use 1 hour = 60 minutes to convert the rates. SOLUTION: Use 1 meter = 100 centimeters and 1 minute = 60 seconds to convert the rates. The rate is 1.76 liters per minute. 19. The table shows the speed and number of wing beats per second for various flying insects. The rate is 15.6 meters per minute. 17. 24 mi/h = ft/s SOLUTION: Use 1 mile = 5,280 feet and 1 hour = 3,600 seconds to convert the rates. eSolutions Powered Cognero The Manual rate is- 35.2 feetbyper second. 18. 105.6 L/h = L/m a. What is the speed of a housefly in feet per second? Round to the nearest hundredth. b. How many times does a dragonfly’s wing beat per minute? c. About how many miles can a bumblebee travel in one minute? d. How many times can a honeybee beat its wings in Page 4 one hour? SOLUTION: a. What is the speed of a housefly in feet per second? Round to the nearest hundredth. b. How many times does a dragonfly’s wing beat per minute? Unit Rates 1-3 Convert c. About how many miles can a bumblebee travel in one minute? d. How many times can a honeybee beat its wings in one hour? SOLUTION: a. Use 1 mile = 5,280 feet and 1 hour = 3,600 seconds to convert the rates. The rate is 900,000 beats per hour. 20. A model airplane flew a distance of 330 feet in 15 seconds. Select all of the unit rates that are equivalent to the speed of the model airplane. SOLUTION: Determine the speed of the model airplane, then determine the speed of the other rates using the same units. Model airplane: The rate is approximately 6.45 feet per second. b. Use 1 minute = 60 seconds to convert the rates. The rate is 2,280 beats per minute. c. Use 1 hour = 60 minutes to convert the rates. The rate is approximately 0.11 miles per minute. d. Use 1 hour = 3,600 seconds to convert the rates. 1320 feet per minute: 1056 feet per minute: So, 15 miles per hour and 1320 feet per minute are the same speed as the model airplane. 21. The table shows how far some of the world's fastest animals can run in different lengths of time at their top speed. The rate is 900,000 beats per hour. eSolutions Manual - Powered by Cognero 20. A model airplane flew a distance of 330 feet in 15 seconds. Select all of the unit rates that are equivalent to the speed of the model airplane. Page 5 So, 15 miles per hour and 1320 feet per minute are the same speed as the model airplane. The table shows how far some of the world's fastest 21. Convert 1-3 Unit Rates animals can run in different lengths of time at their top speed. Quarter Horse: Select the correct top speed to complete the table. Which animal had the fastest rate of speed? So, the cheetah has the fastest rate of speed. SOLUTION: Find the speed in miles per hour for each animal, then fill in the chart appropriately. Cheetah: Elk: Lion: Quarter Horse: eSolutions Manual - Powered by Cognero Page 6
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