Question
Explain the real-world meaning of the parameters a , b , and c of the quadratic function model. Based on data from 1990 to 2003,
Explain the real-world meaning of the parametersa,b, andcof the quadratic function model.Based on data from 1990 to 2003, the amount of money spent on prescription drugs (per capita) can be modeled by
P(t) = 2.889t22.613t+ 158.7
dollars, wheretis the number of years since 1990.
The parameter "a" is ______________and represents the rate at which the amount of money spent on prescription drugs per year is increasing, which is__________ dollars per year. The parameter "b" is _____________and represents the decrease in the amount of money spent on prescription drugs per year in the initial year of____________. The parameter "c" is_________________and represents the amount of money spent on prescription drugs in _______________.
2. Explain the real-world meaning of the parametersa,b, andcof the quadratic function model.Based on data from 2004 to 2005 and projections for 2006 to 2009, the amount of money spent by consumers on books classified asadult tradecan be modeled by
b(x) =31.15x2+ 556.1x+ 14970
million dollars, wherexis the number of years since 2004.
The parameter "a" is _______________and represents the rate at which the change in the amount of money spent by consumers on books classified as adult trade is decreasing, which is 62.30 million dollars per year each year. The parameter "b" is ______________and represents the increase in the amount of money in millions spent by consumers on books classified as adult trade in the initial year of______________. The parameter "c" is _________________and represents the amount of money in millions spent by consumers on adult trade books in the year ______________.
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