Brigham Young University - Idaho - Unit 3 Review

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 1/20 [PRINT] Math for the Real World: Section A2 (FA23) , Unit 3 Review Kelsey Longmore, 12/8/23 at 7:11:42 AM MST Question1: Score 1/1 A medical researcher is using rats to do an experimental test to determine the appropriate dosage for a new cancer drug. Each rat will be given a different dosage of the drug. The oncologist will then measure the growth rate of the cancerous tumor. Which of the following best describes the input and output variables that will be used in this experiment? Your response Correct response Input: dosage of drug; Output: growth rate of tumor Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question2: Score 1/1 Levi has collected data about men's heights and their shoe sizes. He noticed that taller men tend to have larger shoe sizes and shorter men tend to have smaller shoe sizes. Levi would like to use a trendline to predict the shoe size for a man that is 59 inches tall. Which type of trendline would be the best choice to model the relationship between men's heights and their shoe sizes? Your response Correct response A linear trendline. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question3: Score 1/1    

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 2/20 Andre went fishing and caught an Atlantic Ocean Rockfish that was 30 cm long. He found the following data to estimate the weight of the fish. Use the graph and trendline, , to estimate the weight of Andre's fish in grams. (Round your answer to the nearest whole gram) Your response Correct response 414 Auto graded Grade: 1/1.0 grams Total grade: 1.0×1/1 = 100% Question4: Score 1/1  

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 4/20 The scatterplot below shows the temperatures of a cup of hot cocoa after it is poured into a serving cup. The hot cocoa starts at approximately 180º F, but the temperature decreases over time. Use the graph and trend line equation, , to estimate the temperature of the hot cocoa after 9 minutes. (Round your answer to the nearest whole degree) Your response Correct response 154 Auto graded Grade: 1/1.0 degrees Fahrenheit Total grade: 1.0×1/1 = 100% Question6: Score 1/1  

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 5/20 Jacob wants to see if there is a relationship between the speed of a male runner and his age. He collected the age and race time from 27 male runners in a local 200 meter race. His data is depicted in the scatterplot below. Which of the following interpretations does this scatterplot best support? Your response Correct response A linear trendline with a positive slope is the best choice for this data because older men's running times are longer than younger men's times. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question7: Score 1/1 A recent study found several features of internet usage that correlated with depression. One news article headline stated: "Study proves the internet causes depression." Which of the following best describes the flaw in the logical reasoning of the news article? Your response Correct response The news article claimed causation when there is only evidence of correlation. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question8: Score 1/1    

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 7/20 Keagan works at a furniture store where he receives a commission on his sales. He must choose between two plans for his pay structure for the next year. For Plan A Keagan's monthly salary is $1,770 and he gets a 18.5% commission on his monthly sales. For Plan B his monthly salary is $2,100 and he gets a 5.5% commision on his monthly sales. Use a system of equations to model Keagan's situation and choose the best response below. Your response Correct response If Keagan's sales are more than $2538.46, Plan A is a better plan because he earns more money in one month. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question12: Score 1/1 Using the graph below identify the solution to the two lines. Your response Correct response (-4,5) Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question13: Score 1/1 Solve the following independent system of equations. Solution: Your response Correct response    

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 8/20 2 Auto graded Grade: 1/1.0 Your response Correct response 10 Auto graded Grade: 1/1.0 Total grade: 1.0×1/2 + 1.0×1/2 = 50% + 50% Question14: Score 1/1 Solve the following independent system of equations. Solution: Your response Correct response 2 Auto graded Grade: 1/1.0 Your response Correct response 10 Auto graded Grade: 1/1.0 Total grade: 1.0×1/2 + 1.0×1/2 = 50% + 50% Question15: Score 1/1 Solve the following independent system of equations. Solution: Your response Correct response 2.6 Auto graded Grade: 1/1.0 Your response Correct response 9.3 Auto graded Grade: 1/1.0 Total grade: 1.0×1/2 + 1.0×1/2 = 50% + 50%         

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 10/20 Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question19: Score 1/1 Given that the probability of an event is equal to 0.9, what must be true about the event? Your response Correct response The event is probable, but not sure to happen. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question20: Score 1/1 To be considered a full-time student at BYU-Idaho, a student must take at least 12 credits in a semester. The maximum number of credits a full-time student can take in a single semester is 21 credits. Assuming Edwin is not taking any part-credit classes, how many different possibilities exist for the number of credits Edwin can take to be considered a full-time student? Your response Correct response 10 Auto graded Grade: 1/1.0 different possibilities. Total grade: 1.0×1/1 = 100% Question21: Score 1/1 To be considered a full-time student at BYU-Idaho, the student must take at least 12 credits. The maximum number of credits a full-time student can take in a single semester is 21 credits. Which of the following is the sample space for the number of credits in one semester for a full-time student? Your response Correct response {12,13,14,15,16,17,18,19,20,21} Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100%        

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 11/20 Question22: Score 1/1 In a recent survey, a group of American adults were asked how satisfied they were with their family life. 24,200 adults said they were “very satisfied,” 7365 adults said they were “somewhat satisfied,” 1754 adults said they were “somewhat dissatisfied,” and 1053 adults said they were “very dissatisfied.” 702 adults chose not to answer the question. Which of the following columns (A, B, C, D, or E) correctly shows the responses to this question as a probability model? (A) (B) (C) (D) (E) Very satisfied 2% 69% 2% 69% 69% Somewhat satisfied 3% 14% 14% 10.5% 21% Somewhat dissatisfied 5% 21% 69% 8% 5% Very dissatisfied 21% 8% 3% 5% 3% Did not answer 69% 2% 2% 1.5% 2% Your response Correct response Column E Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question23: Score 1/1 In a survey by the Pew Research Center, adult members of the Church of Jesus Christ of Latter-day Saints in the U.S. were asked how important religion is in their life. 558 adults said religion is “very important” in their lives, 79 adults said religion is “somewhat important” in their lives, 20 adults said religion is “not too important” in their lives, and 7 adults said religion is “not at all important” in their lives. Which of the following columns (A, B, C, D, or E) correctly shows the responses to this question as a probability model? (A) (B) (C) (D) (E) Very important 63.5% 84% 84% 12% 77% Somewhat important 22.5% 12% 14% 84% 21% Not too important 2% 3% 5% 1% 5% Not at all important 1% 1% 3% 3% 3% Your response Correct response Column B Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100%    

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 13/20 According to a recent study, about 73.9% of Americans regularly experience feeling "hangry" or feeling angry due to being hungry. The margin of error for the study was 1.2%. Find the 95% confidence interval for this situation. (Enter the smallest value in the first blank and the largest value in the last blank. Do not add % sign. Round to one decimal place.) ( Your response Correct response 72.7 Auto graded Grade: 1/1.0 % , Your response Correct response 75.1 Auto graded Grade: 1/1.0 %) Total grade: 1.0×1/2 + 1.0×1/2 = 50% + 50% Question27: Score 1/1 Which of the following correctly lists the five steps of the Quantitative Reasoning Process in order? Your response Correct response Understand the problem, Identify key variables & make key assumptions, Apply quantitative tools, Make an informed decision, and Reflect & evaluate. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question28: Score 1/1 Dale is a student at BYU-Idaho. In November, he was diagnosed with diabetes. Dale used the Quantitative Reasoning Process to create a plan to eliminate extra sugar from his diet and to put exercise into his schedule. As a part of his plan, Dale removed all the treats from his student apartment and joined an intramural basketball team at BYU-Idaho. Dale has not thought about how his diet and exercise plan could change when he goes home for Christmas break. How could Dale practice using foresight to make more informed choices for his health over the holiday break? Your response Correct response     

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 14/20 Dale could talk to his family about his plans and bring healthy alternatives to the traditional holiday sweets. He might make some alternative exercise plans when he is at home so he can still reach his exercise goals without the basketball league. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question29: Score 1/1 Last year Connor got a credit card to start building a good credit score. Connor's credit card company offers airline miles as a reward so he plans to use his credit card regularly. Because he wants to avoid debt, Connor decided to pay the credit card in full each month and used the Quantitative Reasoning Process to create a monthly budget. To fit his goals, Connor planned to charge $533 during the month on his credit card and pay $533 at the end of every month. This month, Connor charged the following on his credit card: $227 on groceries, $80 on new shoes, $121 on eating out, $105 on gas for the car, and $72 on entertainment. Select the most correct response about Connor's situation. Your response Correct response The problem with Connor's situation is that he is not following through on his planned budget. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question30: Score 1/1 Judith is using the Quantitative Reasoning Process to make a decision about which apartment to rent while she completes her student teaching. Which of the following should she be sure to do as part of the process: Your response Correct response All of the above. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question31: Score 1/1      

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 16/20 Whitney has collected data about how the price of a used Chevrolet Volt decreases as the Chevrolet Volt ages. Whitney would like to use a trendline to predict the price of a used Chevrolet Volt that is 9 years old. Which type of trendline would be the best choice to model the relationship between the Chevrolet Volt's age and its price? Your response Correct response An exponential trendline. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question35: Score 1/1 Keenan is an artist who creates both ceramic pots and wooden bowls. In Keenan's first month of online sales, he sold 8 ceramic pots and 11 wooden bowls and made a profit of $629.33. The second month of online sales, he sold 24 ceramic pots and 22 wooden bowls and made a profit of $1,434.9. Keenan needs to buy new supplies and wants to put some money in a business savings account. For the next 4 months he decided to only buy supplies for the art form for which he earns the most profit. Select the most appropriate conclusion below. Your response Correct response Keenan should buy supplies for wooden bowls because every wooden bowl he sells makes a profit of $41.19. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question36: Score 1/1    

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 17/20 Yi Lin manages an ice cream store. She wants to see if there is a relationship between the number of ounces of ice cream for each size and the number of ice creams sold. For one month Yi Lin counted the number of each size of ice cream sold and put her data in the chart below. Size of Ice Cream Ounces of Ice Cream Number Sold in One Month Kid's Size 2 11 Small 4 29 Medium 6 52 Large 8 45 Super Size 12 12 Yi Lin created the scatterplot below. Which of the following interpretations does this scatterplot best support? Your response Correct response The negative quadratic trendline is the best choice for this data because it looks like the medium size was the most frequently purchased (the vertex) and both the kid's size and the super size were purchased less frequently. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question37: Score 1/1  

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 19/20 The data below comes from the Idaho driver's education manual. Use the scatterplot and trendline of vehicle speed, in miles per hour, and the distance traveled, in feet during a 1.5-second reaction time, to select the most correct conclusion. Your response Correct response During the reaction time, the distance traveled by a car going 45 miles per hour is about 101.5 feet. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question39: Score 1/1 In a particular carnival game, players earn 5 tickets for tossing a ball into the smallest hole. Players earn 3 tickets for tossing a ball into the mid-sized hole, and 1 ticket for tossing a ball into the largest hole. If Nicole tossed 2 balls into holes during her turn, what is the sample space for the possible number of tickets Nicole could earn? Your response Correct response {2,4,6,8,10} Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100% Question40: Score 1/1    

12/8/23, 9:21 AM Brigham Young University - Idaho - Unit 3 Review https://byui.mobius.cloud/modules/gradeProctoredTest.Login 20/20 Jane is traveling to Florida for 6 days and plans to rent a car. She picked out a car and now must choose between two car rental companies. For Action Rentals, the cost is $32.91 per day plus $0.56 per mile. For Zippy Rentals, the cost is $43.5 per day plus $0.18 per mile. Use a system of equations to model Jane's situation and choose the best response below. Your response Correct response If Jane drives more than 167.2 miles, she should choose Zippy Rentals because she pays less for her rental car. Auto graded Grade: 1/1.0 Total grade: 1.0×1/1 = 100%  