Pregunta
Express each phrase as a rate and unit rate. (Round your answer to the nearest hundredth.) 9) 5 inches of snow in 4 hours 10) 8 pencils for 9 dollars 11) 6 calculators cost \( \$ 160.00 \) 12) 9 chocolate bars cost 22 dollars 13) 140 miles on 4 gallons of gas 14) 5 dollars for 4 cans of tuna 15) 12 batteries cost 29 dollars 16) 16 dollars for 4 books
Ask by Marsh Osborne. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
**9) 5 inches of snow in 4 hours**
- **Rate:** 5 inches per 4 hours
- **Unit Rate:** 1.25 inches per hour
**10) 8 pencils for 9 dollars**
- **Rate:** 9 dollars per 8 pencils
- **Unit Rate:** 1.13 dollars per pencil
**11) 6 calculators cost \$160.00**
- **Rate:** \$160.00 per 6 calculators
- **Unit Rate:** \$26.67 per calculator
**12) 9 chocolate bars cost 22 dollars**
- **Rate:** 22 dollars per 9 chocolate bars
- **Unit Rate:** \$2.44 per chocolate bar
**13) 140 miles on 4 gallons of gas**
- **Rate:** 140 miles per 4 gallons
- **Unit Rate:** 35.00 miles per gallon
**14) 5 dollars for 4 cans of tuna**
- **Rate:** 5 dollars per 4 cans of tuna
- **Unit Rate:** 1.25 dollars per can
**15) 12 batteries cost 29 dollars**
- **Rate:** 29 dollars per 12 batteries
- **Unit Rate:** 2.42 dollars per battery
**16) 16 dollars for 4 books**
- **Rate:** 16 dollars per 4 books
- **Unit Rate:** 4.00 dollars per book
Solución
Sure! Let's express each phrase as a **rate** and a **unit rate**, rounding the unit rate to the nearest hundredth.
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**9) 5 inches of snow in 4 hours**
- **Rate:** 5 inches per 4 hours
- **Unit Rate:** \( \frac{5 \text{ inches}}{4 \text{ hours}} = 1.25 \) inches per hour
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**10) 8 pencils for 9 dollars**
- **Rate:** 9 dollars per 8 pencils
- **Unit Rate:** \( \frac{9 \text{ dollars}}{8 \text{ pencils}} = 1.13 \) dollars per pencil
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**11) 6 calculators cost \$160.00**
- **Rate:** \$160.00 per 6 calculators
- **Unit Rate:** \( \frac{160.00 \text{ dollars}}{6 \text{ calculators}} \approx 26.67 \) dollars per calculator
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**12) 9 chocolate bars cost 22 dollars**
- **Rate:** 22 dollars per 9 chocolate bars
- **Unit Rate:** \( \frac{22 \text{ dollars}}{9 \text{ chocolate bars}} \approx 2.44 \) dollars per chocolate bar
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**13) 140 miles on 4 gallons of gas**
- **Rate:** 140 miles per 4 gallons
- **Unit Rate:** \( \frac{140 \text{ miles}}{4 \text{ gallons}} = 35.00 \) miles per gallon
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**14) 5 dollars for 4 cans of tuna**
- **Rate:** 5 dollars per 4 cans of tuna
- **Unit Rate:** \( \frac{5 \text{ dollars}}{4 \text{ cans}} = 1.25 \) dollars per can
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**15) 12 batteries cost 29 dollars**
- **Rate:** 29 dollars per 12 batteries
- **Unit Rate:** \( \frac{29 \text{ dollars}}{12 \text{ batteries}} \approx 2.42 \) dollars per battery
---
**16) 16 dollars for 4 books**
- **Rate:** 16 dollars per 4 books
- **Unit Rate:** \( \frac{16 \text{ dollars}}{4 \text{ books}} = 4.00 \) dollars per book
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Feel free to reach out if you have any more questions!
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Mind Expander
For 5 inches of snow in 4 hours, the rate is 5 inches/4 hours, which simplifies to a unit rate of 1.25 inches per hour. That's a snowy forecast for sure! When it comes to 8 pencils for 9 dollars, the rate is 8 pencils/9 dollars, giving a unit rate of approximately 0.89 pencils per dollar. Talk about a steal on stationery!
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