M2623 -Worksheet 5 - 10 points Name: Complete the following exercises on a separate sheet of paper. You may use the textbook, your notes, the internet, and a calculator as resources. Your responses must include appropriate math and/or explanation. Show your work and justify your reasoning! Some exercises may require you to make assumptions or look up additional information. State any assumptions or sources in your response. Each problem is 2 points 1. (3.8.48) Look up the local sales tax in your area. Find the price of one textbook you purchased this semester. Suppose you have a 30% off coupon. a. First find the discounted price, then the sales tax, then the final price. b. First find the sales tax, then the discounted (final price) . Does it matter to you which way the computation is made? Does it matter to the state? (Remember: the state collects the sales tax!) Which is the correct way to calculate a discount and sales tax? 2. Use the 1 + trick to determine the overall raise if you earn a 1.5% raise in year 1, a 2.3% raise in year 2, and a 1.8% raise in year 3. 3. (3.8.3) 46,795 runners finished the 2011 New York marathon. The 1981 marathon had 13,203 finishers. What was the percentage increase in runners who finished? 4. (3.8.8) The Massachusetts Department of Public Health collects annual data on brain injuries in school athletics. In 2011, the department reported that in their survey of middle and high school students, about 18 percent of students who played on a team in the previous 12 months reported symptoms of a traumatic brain injury while playing sports. These symptoms include losing consciousness, having memory problems, double or blurry vision, headaches or nausea. During that year, about 200,000 Massachusetts high school students participated in extracurricular sports. . How many reported injuries were there? b. The survey reports the number injured as a percentage of the number of students participating in extracurricular sports. What is the number injured as a percentage of the population of Massachusetts? c. Use the information in the problem to estimate how many injured high school students would you expect in the town in which you live? d. Discuss the reliability of the reported 18% figure. What factors might make the true value greater? What factors might make it less? 5. (3.8.47) A local supermarket offers Special Pain au Levain 2 for $5 Regularly $3.99 Over 30% off. a. Is the claim true? b. How much more than 30% is the actual savings