The table shows the actual retail market share of passenger cards from Ford Motor Company as a percentage of the U.S. market.
Year Market Share
1975 23.6%
1980 17.2%
1985 18.8%
1990 20.0%
1995 20.7%
A mathematical model for this date is given by f(x) = 0.04x^2 - 0.8x + 22 where 0 corresponds to 1975. Complete the table below to find what the model predicts.
a. Complete the table.
x Market Share f(x)
0 23.6
5 17.2
10 18.8
15 20.0
20 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.
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