Subjects algebra

Rate Conversions

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1. **Problem 3:** Mrs. Costa runs $\frac{1}{4}$ mile in $\frac{1}{6}$ hour. Find her speed in miles per hour. 2. **Formula:** Speed = $\frac{\text{distance}}{\text{time}}$ 3. **Calculation:** $$\text{Speed} = \frac{\frac{1}{4}}{\frac{1}{6}} = \frac{1}{4} \times \frac{6}{1} = \frac{6}{4} = 1.5 \text{ miles per hour}$$ 4. **Answer:** Mrs. Costa's speed is 1.5 miles per hour (Brown). 5. **Problem 4:** A store sells 9 pencils for 4.50 dollars. Find the rate of pencils per dollar. 6. **Formula:** Rate = $\frac{\text{number of pencils}}{\text{dollars}}$ 7. **Calculation:** $$\text{Rate} = \frac{9}{4.5} = 2 \text{ pencils per dollar}$$ 8. **Answer:** The rate is 2 pencils per dollar (Orange). 9. **Problem 5:** Convert 435 ounces to pounds, knowing 1 pound = 16 ounces. 10. **Formula:** Pounds = $\frac{\text{ounces}}{16}$ 11. **Calculation:** $$\text{Pounds} = \frac{435}{16} = 27.1875 \approx 27.2 \text{ pounds}$$ 12. **Answer:** 435 ounces is approximately 27.2 pounds (Red). 13. **Problem 6:** Mr. Edwards reads 12 pages in 15 minutes. How many pages can he read in 1 hour (60 minutes)? 14. **Formula:** Pages per hour = $\frac{\text{pages read}}{\text{time in minutes}} \times 60$ 15. **Calculation:** $$\text{Pages per hour} = \frac{12}{15} \times 60 = 0.8 \times 60 = 48 \text{ pages per hour}$$ 16. **Answer:** Mr. Edwards can read 48 pages per hour (Green).