Math 81 Group Work – Week Eight Polynomials (with Geometry! ) Each person should be working on their own paper to contribute to solving these problems. At the end of the hour, you will turn in ONE overall copy of the work you have done on these questions. Each person’s name should be on the paper you turn in. 1. Stopping Distance – The polynomial 1.1v  0.06v 2 models the number of feet it takes for a car traveling at v miles per hour to stop on dry, level concrete. a) How many feet will it take a car traveling 45 miles per hour to stop on dry, level concrete? b) How many feet will it take a car traveling 60 miles per hour to stop on dry, level concrete? c) How many feet will it take a car traveling 60 miles per hour to stop on wet, downhill concrete? 2. Surface Area ‐ Use the drawing of the box given to write a polynomial that represents the following (simplify as far as you can). a) The area of its bottom b) The area of its front d) The area of its right side e) The total surface area (note: how many sides are there to a box?) e) The volume of the box 3. Picture Frame – A photo is 13 by 15 and is bordered by a matting that is x inches wide. Write a polynomial that calculates the area of the entire framed picture. 4. Median Annual Income by Level of Education, 2004 – Here are polynomial models that describe the median annual income for men (M) and women (W) who have completed x years of education: M  18 x3  923x 2  9603x  48, 446
W  17 x3  450 x 2  6392 x  14, 764
a) Use these equations to find a mathematical model for M‐W. b) According to the model you found in a), what is the difference in the median annual income between men and women with 14 years of education? (equivalent to an AA) c) How does this compare with the given graph? Did the model overestimate, underestimate, how much? d) According to the model you found in a), what is the difference in the median annual income between men and women with 16 years of education? (equivalent to a BA) e) How does this compare with the given graph? Did the model overestimate, underestimate, how much?