Assignment:
Q1. Business Application: Automobile production:
The table shows the 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) = 0.04x2 – 0.8x + 22 where x = 0 corresponds to 1975
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
Q2. Science Application: Greenhouse Gas Puzzle:
Atmospheric carbon dioxide levels continue to increase and are suspected to contribute to global warming. The solution to the polynomial equation
x3 – 380x2 + 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.
Provide complete and step by step solution for the question and show calculations and use formulas.