1 1 Inductive and Deductive Reasoning

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full file at http testbankeasy com, Identify a pattern in the sequence of figures Then use the pattern to find the next figure in the sequence. Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, The problem describes procedures that are to be applied to numbers Repeat the procedure for four numbers of your. choice Write a conjecture that relates the result of the process to the original number selected. 13 Select a number Multiply the number by 56 Add 56 to the product Divide this sum by 28 Subtract 2 from the. A The result is double the original number,B The result is the original number. C The result is one more than the original number, D The result is one more than double the original number. Use inductive reasoning to predict the next line in the pattern Then perform the arithmetic to determine whether your. conjecture is correct,14 40 9 31,400 89 311,4000 789 3211.
A 40 000 6 789 33 211 B 4000 6 789 33 211,C 40 000 6 789 393 211 D 400 000 6 789 33 211. 15 36 34 32 30 37 35 33 31,46 44 42 40 47 45 43 41. A 56 54 52 50 57 55 53 51 B 56 54 52 50 57 55 53 51. C 56 54 52 50 57 55 53 51 D 56 54 52 50 57 55 53 51. 16 6 x 8 7 9 15,8 x 10 9 11 19,A 10 12 11 13 23 B 10 12 11 13 21. C 10 12 13 19 23 D 10 12 11 13 21,99 99 9801,999 999 998 001. A 9999 9999 99 980 001 B 9999 9999 999 001,C 999 9999 99 980 001 D 9999 9999 1 000 001.
18 19 20 21 22 19 20 21 22,20 21 22 23 20 21 22 23. A 21 22 23 24 21 22 23 24 B 22 23 24 25 22 23 24 25. C 21 22 23 24 19 20 21 22 23 24 D 22 23 24 25 21 20 19 18. Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com,19 1 9 7 2,21 9 7 182. 321 9 7 2882,A 4321 9 7 38 882 B 4321 9 7 28 882,C 4321 9 7 3881 D 432 9 7 38 882. 20 5 1 2 1 10,5 10 2 2 200,5 100 2 3 3000,A 5 1000 2 4 40 000 B 5 1000 2 4 45 000. C 5 1000 2 4 4000 D 5 1000 2 4 35 000,21 37 037 3 111 111.
37 037 6 222 222,37 037 9 333 333,37 037 12 444 444. A 37 037 15 555 555 B 37 037 18 666 666,C 37 037 13 481 481 D 111 111 15 1 666 665. 3 9 27 2 27,1 1 1 1 1 1,3 9 27 81 2 81,1 1 1 1 1 1 1 1 1 1 1 1 1 1. 3 9 27 81 243 2 243 3 9 27 81 162 2 162,1 1 1 1 1 1 1 1 1 1 1 1 1 1. 3 9 27 81 729 2 729 3 9 27 81 243 3 243,23 8 5 10 5 1.
8 5 8 25 10 25 1,8 5 8 25 8 125 10 125 1,8 5 8 25 8 125 8 625 10 625 1. A 8 5 8 25 8 125 8 625 8 3125 10 3125 1,B 8 5 8 25 8 125 8 625 8 3125 8 3125 1. C 8 5 8 25 8 125 8 625 8 1250 10 1250 1,D 8 5 8 25 8 125 8 625 8 5000 10 5000 1. Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, The following table relates an adult s body weight in pounds to his or her dosage of a certain medication in. milligrams,Weight 100 125 150 175 200 225,Dosage 30 37 44.
a Use inductive reasoning to fill in the missing portions of the table. b What would be the dosage of a person who weighs 375 pounds. A a Weight 100 125 150 175 200 225 B a Weight 100 125 150 175 200 225. Dosage 30 37 44 51 58 65 Dosage 30 37 44 51 55 56,b 107 mg b 100 mg. C a Weight 100 125 150 175 200 225 D a Weight 100 125 150 175 200 225. Dosage 30 37 44 51 51 51 Dosage 30 37 44 51 141 171. b 93 mg b 114 mg, SHORT ANSWER Write the word or phrase that best completes each statement or answers the question. Solve the problem using inductive reasoning,25 Write the next three square figurate numbers. 26 Write the next three triangular figurate numbers. 2 Understand and Use Deductive Reasoning, MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. Which reasoning process is shown in the following example. 1 We examine the genetic blueprints of 500 people No two individuals from this group of people have identical. genetic blueprints We conclude that for all people no two people have identical genetic blueprints. A inductive reasoning B deductive reasoning, C reasoning by counterexample D theoretical reasoning.
2 If Mary goes to the mall she gets ice cream Mary did not get ice cream We conclude Mary did not go to the. A deductive reasoning B inductive reasoning, C reasoning by counterexample D theoretical reasoning. Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, The problem describes procedures that are to be applied to numbers Represent the original number as n and use. deductive reasoning to prove a conjecture that relates the result of the process to the number n. 3 Select a number Multiply the number by 16 Add 16 to the product Divide this sum by 8 Subtract two from. the quotient,16n 16 16n 16,A 2 2n 2 2 2n B 2 n 1 2 n 1. 16n 8 16n 16,C 2 2n 1 2 2n 1 D 1 n 1 1 n,Solve the problem. 4 Study the pattern or trend shown by the data Then select the expression that best describes the number of. tickets sold in thousands n years after 2003,A 2 5 0 2n B 2 5 0 2n C 2 5 1 02n D 2 5 1 02n.
1 2 Estimation Graphs and Mathematical Models, 1 Use Estimation Techniques to Arrive at an Approximate Answer to a Problem. MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. Round the number to the given place value, 1 In 2005 a company spent 593 749 501 on advertising Round the advertising figure to the nearest hundred. A 593 700 000 B 600 000 000 C 593 800 000 D 500 000 000. 2 A publishing company sold 46 265 591 books in 2005 Round the number of books sold to the nearest ten. A 50 000 000 B 40 000 000 C 46 000 000 D 46 270 000. 3 In a town in California the average consumption of soft drinks per day per elementary school student is 15 766. ounces Round this value to the nearest tenth, A 15 8 ounces B 17 ounces C 15 7 ounces D 15 9 ounces. 4 According to his ultra precise scale Freddy gained 3 619 pounds in a three month period Round this amount. to the nearest hundredth, A 3 62 pounds B 4 pounds C 0 62 pounds D 3 63 pounds. Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, 5 In a laboratory course in veterinary biology fleas gathered from Muttsky a volunteered pet dog averaged.
0 167467 inch in length Round this amount to the nearest thousandth. A 0 167 inch B 1 inch C 0 168 inch D 0 166 inch, Solve the problem with estimation but do not use a calculator Use rounding to make the resulting calculations simple. 6 Estimate the cost to buy a refrigerator for 799 a stove for 759 and a dishwasher for 349. A 1900 B 1700 C 1800 D 2000,7 Estimate the cost of 103 shirts at 19 95 each. A 2000 B 2054 85 C 1995 D 200, 8 If a person earns 29 70 per hour estimate that person s annual salary. A 60 000 B 50 000 C 70 000 D 40 000,9 Find an estimate of. A 44 B 22 C 11 D 176,10 Estimate the number of seconds in a day.
A 72 000 seconds B 3 600 seconds C 600 000 seconds D 1 400 seconds. 11 If a person earns 19 550 per year estimate that person s hourly salary. A 10 B 100 C 50 D 40, 12 You rented an apartment for 775 per month for 6 years What is the total amount you paid in rent. A 57 600 B 4800 C 7200 D 9600, 13 You spend 40 57 for a meal If you want to leave a 15 tip estimate the amount of the tip. A 6 B 8 C 4 D 10, SHORT ANSWER Write the word or phrase that best completes each statement or answers the question. 14 Four people share the use of a cable modem service that costs 49 95 a month. 15 If Jessica can type 48 words per minute estimate the number of words she can type in one hour. Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. The map shows main roads between various towns in a certain county Use the map to answer the question. a Estimate the distance from State City to Capitol Park. b If a vehicle travels at an average of 20 miles per hour estimate the traveling time from State City to Capitol. A a 240 miles B a 80 miles C a 160 miles D a 320 miles. b 12 hours b 4 hours b 8 hours b 16 hours, 2 Apply Estimation Techniques to Information Given by Graphs.
MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. The circle graph shows the number of times a group of survey respondents watched the news in the past week Use the. chart to answer the question, 1 If the number of respondents in the study was approximately 44 209 estimate how many stated that they. watched the news 5 6 times in the last week,A 8000 respondents B 10 000 respondents. C 6000 respondents D 12 000 respondents, Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, The bar graph below represents various colors of cars sold Use the graph to answer the question s. 2 Estimate the number of tan cars sold,A 30 000 B 25 000 C 35 000 D 40 000.
3 Estimate the number of white cars sold,A 47 000 B 50 000 C 40 000 D 52 000. 4 Which color sold over 50 000 cars,A Red B White C Tan D Silver. 5 Which color sold under 20 000 cars,A Yellow B White C Tan D Black. 6 Estimate how many more black cars were sold than silver cars. A 21 000 B 31 000 C 11 000 D 14 000, 7 Estimate how many more white cars were sold than tan cars. A 17 000 B 27 000 C 7 000 D 22 000, Copyright 2011 Pearson Education Inc Publishing as Prentice Hall.
full file at http testbankeasy com, The bar graph shows the percentages of health clubs in a large city that offer the service listed on the left Use the graph. to answer the question, 8 Estimate the percentage of health clubs in this city that offer Pilates. A 23 B 29 C 19 D 26, 9 Which services are offered at at least 20 of this city s health clubs and at most 45 of the clubs. A Pilates and nutritional counseling,B massage Pilates and nutritional counseling. C Pilates nutritional counseling and body fat testing. D massage Pilates nutritional counseling and body fat testing. The bar graph shows the amount of scholarship money available to student athletes at State University by year Use the. graph to answer the question, 10 Estimate the amount of scholarship money available to female student athletes at State University in 1997.
A 7000 B 16 000 C 11 000 D 1900, Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, The line graph below shows the price of a stock over the course of the day Use the graph to answer the question s. Stock Price 6,in dollars 5,9AM 10AM 11AM 12PM 1PM 2PM 3PM 4PM 5PM 6PM. 11 At what time was the stock price highest,A 1 PM B 2 PM C 9 AM D 12 PM. 12 At what time was the stock price the lowest,A 9 AM B 10 AM C 1 PM D 6 PM.
The line graph shows the pollution rate for a certain lake from 1950 to 2000 Use the graph to answer the question. 13 Find an estimate for the pollution rate of the lake in 1970. A 2 5 B 2 C 3 5 D 4, Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, 3 Develop Mathematical Models that Estimate Relationships Between Variables. MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. The bar graph shows the average living expenses of an undergraduate student Provide an appropriate response. 1 Estimate the yearly increase in living expenses,A 650 B 500 C 450 D 750. 2 Write a mathematical model that estimates the average living expenses E of an undergraduate student for x. years after 2000, A E 5000 650x B E 5000 500x C E 5000 450x D E 5000 750x. 3 Use a mathematical model to predict the average living expenses of an undergraduate student in 2007. A 9550 B 8500 C 8150 D 10 250,1 3 Problem Solving, 1 Solve Problems Using the Organization of the Four Step Problem Solving Process.
MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question. State the necessary piece of information that is missing which prevents you from solving the problem. 1 A car traveled at an average rate of 58 miles per hour and then reduced its speed to 46 miles per hour for the. rest of the trip If the trip took 3 hours determine how long the car traveled at each rate. A the distance of the trip B the time at each rate. C the time of day D the destination, Copyright 2011 Pearson Education Inc Publishing as Prentice Hall. full file at http testbankeasy com, Solve the problem Then identify the piece of information that is unnecessary to solve the problem. 2 A rental car company that rents cars for local only use charges 30 plus 0 20 for each mile the rental car is. driven If a customer gives the rental attendant 100 for a charge of 42 how many miles did the customer. A 60 miles,unnecessary information giving 100 to attendant. B 30 miles,unnecessary information the 42 charge,C 59 miles. unnecessary information the 0 20 per mile charge,D 210 miles.
unnecessary information the 30 flat charge, Use the four step method in problem solving to solve the problem. 3 City A has an elevation of 3838 feet above sea level while city B has an elevation of 80 feet below sea level How. much higher is City A than City B,A 3918 feet B 3758 feet C 4018 feet D 3658 feet. 4 Lauren owns 17 acres of land which she rents to a farmer for 3672 per acre per year Her property taxes are. 1 1 Inductive and Deductive Reasoning 1 Understand and Use Inductive Reasoning SHORT ANSWER Write the word or phrase that best completes each statement or answers the question Find a counterexample to show that the statement is false 1 No women have sat on the bench of the U S Supreme Court

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