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 |
1980 | 17.2% |
1985 | 18.8% |
1990 | 20.0% |
1995 | 20.7% |
2000 | 20.2% |
2005 | 17.4% |
2010 | 16.4% |
A mathematical model for this data is given by
f(x) = −0.0169x2 + 0.47x + 17.1
where x = 0 corresponds to 1980.
(A) Complete the following table. Round values of f (x) to one decimal place.
x
Market Share
f(x)
0
17.2
5
18.8
10
20.0
15
20.7
20
20.2
25
17.4
30
16.4
(B) Sketch the graph of f and the market share data in the same coordinate system.
(C) Use values of the modeling function f to estimate Ford’s market share in 2020 and in 2025.
(D) Write a brief description of Ford’s market share from 1980 to 2010.
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