Automobile production-table-graph and modeling

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The table shows the retail market share of passenger cars from Ford Motor Company as a percent of the US market.

Year Market share

1980 17.2%

1885 18.8%

1990 20.0%

1995 20.7%

2000 20.2%

2005 17.4%

A mathmatical model for this data is given by
f(x) = -0.0206x^2 + 0.548x + 16.9
where x = 0 corresponds to 1980

1. Complete the following table:

x Market share f(x)

0 17.2

5 18.8

10 20.0

15 20.7

20 20.2

25 17.4

2. Sketch the graph of f and the market share data in the same coordinate system.

3. Use values of the modeling function f to estimate Ford's market share in 2010 and in 2015.

4. Write a brief verbal description of Ford's market share from 1980 to 2005.

Reference no: EM13122255

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