1. Business Application: Automobile production: The table shows the ACTUAL retail market share of passenger cars from Ford Motor Company as a percentage of the U.S. market. Year Market Share 1975 1980 1985 1990 1995 23.6% 17.2% 18.8% 20.0% 20.7%

A mathematical model for this data is given by f(x) = 0.04×2 – 0.8x + 22 where x = 0 corresponds to 1975 (be careful! Don’t plug in 1975 or 75 for x!) The input is the years since 1975 and the output is what the model predicts that the market share will be. Complete the table below to find what the model predicts. a. Complete the table. x Market Share f(x) 0 5 10 15 20 23.6 17.2 18.8 20.0 20.7

b. Use values of the modeling function, f to estimate Ford’s market share in 2000 and in 2005.

c. Write a brief description of Ford’s market share from 1975 to 2005

2. Science Application: Greenhouse Gas Puzzle: (must complete all of Ch.4 before attempting this) Atmospheric carbon dioxide levels continue to increase and are suspected to contribute to global warming. The solution to the polynomial equation

x3 – 380×2 + 2x – 760 = 0

gives the record high amount of carbon dioxide in parts per million (ppm) in 2005, as measured at Mauna Loa Observatory. Determine this record amount.