MATH 115 Quiz 2 Professor: Dr. J. Beyers NAME_______________________ INSTRUCTIONS The quiz is worth 100 points. There are five problems (each worth 20 points). This quiz is open book and open notes. This means you may refer to your textbook, notes, and online classroom materials. You may take as much time as you wish, provided you turn in your quiz no later than the due date posted in our syllabus. You must show all work in order to receive full credit. If you do not show your work, you may earn only partial or no credit at the discretion of the professor. Emailed quizzes and exams will not be accepted (they crash my email system). Thank you for understanding. If you have any questions, please feel free to send me a PAGER message in LEO. Best of luck! MULTIPLE CHOICE Select the best answer choice. Write your answer choices below: (1) Increasing: _________ Decreasing: _________ Constant: _________ (2) ____ (3) _____ (4) _____ (5) _____ (1) Determine the intervals on which the function is Increasing: ____________________ Decreasing: ____________________ Constant: ____________________ 1, 2 1, 1 1, 1 1, 0 3, 2 Solution: (Explanation) 3, 2 (2) The U.S. annual per-capita consumption of coffee was 33.4 gal in 1970. By 2007, this amount had decreased to 24.6 gal. (Source: Economic Research Service, U.S. Department of Agriculture). What is the average rate of change in coffee consumption per capita from 1970 to 2007? Round your answer to four places. 4.2045 Solution: 0.2378 0.2378 4.2045 (3) The graph of is shown below: 4 3 2 1 4 5 2 3 1 1 2 3 4 5 1 2 3 4 1 is which of the following? The graph of 4 3 2 4 3 2 1 1 1 1 1 3 2 1 4 3 2 3 2 1 1 2 3 4 5 1 2 3 4 5 4 3 2 1 1 1 2 3 4 5 3 2 1 4 3 2 1 1 1 2 3 4 5 Solution: (4) Use the graph of to determine which of the following is the graph of . Explain your reasoning. 5, 4 0, 1 5, 3 0, 1 1, 1 1, 1 2, 2 5, 6 2, 2 0, 1 Solution: (5) Wind resistance tends to slow down moving objects. Wind resistance varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 40 with a surface area of 37.8 experiences a drag of 222 (Newtons), how fast must a car with 51 of surface area travel in order to experience a drag force of 430 ? 25.8 Solution: 46.5 57.4 62.8