3. Answers to even-numbered HW problems Section 2.3 S-4x = 3.625 or Ex 18 a) t = b) She will weigh 68 pounds at age 8.5 years. c) i. She will be 55.3 inches tall when she weighs 68 pounds. ii. h =.225w + 40 or h = w + 40 w 8 1.8 8 29 8

4. Washington State: USDA Climate Zones

5. Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre. Make a graph of W versus R. Use a horizontal scale from 3 to 25. The state of Washington is one of world’s largest producers of grapes. The grapes grown in the state are used to make both wine and grape juice. However, wine is more profitable. One of the reasons the state has been so successful in the production of wine is the relatively dry climate in the central part of the state. If there is too little rain, the grape crop suffers. If there is too much rain, grapes are still produced, but they are unsuitable for making wine and are used in the manufacture of grape juice. Wine industry experts have developed a model for the number of barrels of wine produced per acre as a function of the average number of inches of rainfall per year. The model is

6. Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre. Make a graph of W versus R. Use a horizontal scale from 3 to 25. The state of Washington is one of world’s largest producers of grapes. The grapes grown in the state are used to make both wine and grape juice. However, wine is more profitable. One of the reasons the state has been so successful in the production of wine is the relatively dry climate in the central part of the state. If there is too little rain, the grape crop suffers. But, if there is too much rain, grapes are still produced, but they are unsuitable for making wine and are used in the manufacture of grape juice. Wine industry experts have developed a model for the number of barrels of wine produced per acre as a function of the average number of inches of rainfall per year. The model is

7. Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre. 1. Explain what is meant by W(14) and find its value. 2. If, in a certain year, the wine production was 23 barrels per acre, what does the model indicate the amount of rainfall was that year? Answer to the nearest hundredth of an inch. 3. What amount of rainfall will produce the highest number of barrels of wine per acre? Answer to the nearest hundredth of an inch.

8. Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre. W(14) represents the number of barrels of wine produced per acre if there are 14 inches of rainfall. W(14) = 57.4 1. Explain what is meant by W(14) and find its value. 2. If, in a certain year, the wine production was 23 barrels per acre, what does the model indicate the amount of rainfall was that year? Answer to the nearest hundredth of an inch. 3. What amount of rainfall will produce the highest number of barrels of wine per acre? Answer to the nearest hundredth of an inch.

9. 23 barrels per acre will be produced with 3.63 inches or 22.84 inches of rain. 1. Explain what is meant by W(14) and find its value. 2. If, in a certain year, the wine production was 23 barrels per acre, what does the model indicate the amount of rainfall was that year? Answer to the nearest hundredth of an inch. 3. What amount of rainfall will produce the highest number of barrels of wine per acre? Answer to the nearest hundredth of an inch. W(14) represents the number of barrels of wine produced per acre if there are 14 inches of rainfall. W(14) = 57.4 Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre.

10. 23 barrels per acre will be produced with 3.63 inches or 22.84 inches of rain. 1. Explain what is meant by W(14) and find its value. 2. If, in a certain year, the wine production was 23 barrels per acre, what does the model indicate the amount of rainfall was that year? Answer to the nearest hundredth of an inch. 3. What amount of rainfall will produce the highest number of barrels of wine per acre? Answer to the nearest hundredth of an inch. W(14) represents the number of barrels of wine produced per acre if there are 14 inches of rainfall. W(14) = 57.4 Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre.

11. 23 barrels per acre will be produced with 3.63 inches or 22.84 inches of rain. 1. Explain what is meant by W(14) and find its value. 2. If, in a certain year, the wine production was 23 barrels per acre, what does the model indicate the amount of rainfall was that year? Answer to the nearest hundredth of an inch. 3. What amount of rainfall will produce the highest number of barrels of wine per acre? Answer to the nearest hundredth of an inch. W(14) represents the number of barrels of wine produced per acre if there are 14 inches of rainfall. W(14) = 57.4 Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre.

12. 23 barrels per acre will be produced with 3.63 inches or 22.84 inches of rain. 1. Explain what is meant by W(14) and find its value. 2. If, in a certain year, the wine production was 23 barrels per acre, what does the model indicate the amount of rainfall was that year? Answer to the nearest hundredth of an inch. 3. What amount of rainfall will produce the highest number of barrels of wine per acre? Answer to the nearest hundredth of an inch. W(14) represents the number of barrels of wine produced per acre if there are 14 inches of rainfall. W(14) = 57.4 12.86 inches of rain will produce the highest number of barrels (57.86). Where R = number of inches of rainfall per year and W = number of barrels of wine produced per acre.

14. At birth, the average tyrannosaurus was 3 feet long. A full grown T-Rex could be as much as 50 feet long. Paleontologists have formulated a model that identifies the approximate weight of a tyrannosaurus as a function of its overall length during the T-Rex’s lifetime. That model is given by the function where W = weight in tons, and L = length in feet. 1.Make a graph of W versus L. 2.What was the approximate weight of a tyrannosaurus at birth? 3. To the nearest tenth of a foot, how long would an 11 ton tyrannosaurus be?

15. At birth, the average tyrannosaurus was 3 feet long. A full grown T-Rex could be as much as 50 feet long. Paleontologists have formulated a model that identifies the approximate weight of a tyrannosaurus as a function of its overall length during the T-Rex’s lifetime. That model is given by the function where W = weight in tons, and L = length in feet. 1.Make a graph of W versus L. 2.What was the approximate weight of a tyrannosaurus at birth? 3. To the nearest tenth of a foot, how long would an 11 ton tyrannosaurus be?.84 tons

16. At birth, the average tyrannosaurus was 3 feet long. A full grown T-Rex could be as much as 50 feet long. Paleontologists have formulated a model that identifies the approximate weight of a tyrannosaurus as a function of its overall length during the T-Rex’s lifetime. That model is given by the function where W = weight in tons, and L = length in feet. 1.Make a graph of W versus L. 2.What was the approximate weight of a tyrannosaurus at birth? 3. To the nearest tenth of a foot, how long would an 11 ton tyrannosaurus be?.84 tons 25.5 ft

17. 1.Make a graph of G versus p as the price per gallon rose from $2.60 to 4.20 per gallon. (Suggestion: first adjust the TBLSET menu so that  Tbl =.1) 2.How many gallons were consumed daily when the average price of gasoline was $3.50 per gallon? 3.At what price per gallon was gasoline consumption highest (answer to the nearest penny)? 4.At what price(s) per gallon was daily gasoline consumption 3.0 million gallons (answer to the nearest penny)? As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010.

18. 1.Make a graph of G versus p as the price per gallon rose from $2.60 to 4.20 per gallon. (Suggestion: first adjust the TBLSET menu so that  Tbl =.1) As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010.

19. 1.Make a graph of G versus p as the price per gallon rose from $2.60 to 4.20 per gallon. (Suggestion: first adjust the TBLSET menu so that  Tbl =.1) As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010.

20. 2.How many gallons were consumed daily when the average price of gasoline was $3.50 per gallon? As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010.

21. 2.How many gallons were consumed daily when the average price of gasoline was $3.50 per gallon? As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010. 5.045 million gallons

22. 3.At what price per gallon was gasoline consumption highest (answer to the nearest penny)? As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010.

23. 3.At what price per gallon was gasoline consumption highest (answer to the nearest penny)? As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010. $3.43 per gallon

24. 4.At what price(s) per gallon was daily gasoline consumption 3.0 million gallons (answer to the nearest penny)? As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010.

25. 4.At what price(s) per gallon was daily gasoline consumption 3.0 million gallons (answer to the nearest penny)? As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010. $2.62 per gallon

26. 1.Make a graph of G versus p as the price per gallon rose from $2.60 to 4.00 per gallon. 2.How many gallons were consumed daily when the average price of gasoline was $3.50 per gallon? 3.At what price per gallon was gasoline consumption highest (answer to the nearest penny)? 4.At what price(s) per gallon was daily gasoline consumption 3.0 million gallons (answer to the nearest penny)? $3.43 per gallon $2.62 per gallon 5.045 million gallons As summer, 2010 approached, demand for gasoline increased, and so did the average price per gallon nationwide. Eventually, when the price of gasoline got high enough, people limited their driving and demand decreased. The function below gives the daily gasoline consumption, G, in millions of gallons as a function of the average price per gallon, p, nationwide in summer 2010.

27. Homework: Read section 2.4 (through top of page 175) Page 180 # S-1, S-5 Page 181 # 5, 6 Read section 2.5 (through top of page 191) Page 196 # S-1, S-8 Pages 197 – 201 # 2, 18,19 Print and complete PRACTICE TEST 1