The per capita consumption of commercially produced fresh vegetables in a certain country from 1980 through 2000 was as shown in the accompanying table. Per capita consumption of fresh vegetables in a certain country Vegetable consumption, V (pounds per person) Year 1980 146.1 1985 155 1990 170.1 1995 179.1 2000 202.7 (a) Find the function of the quadratic model that gives the per capita consumption of fresh vegetables in pounds per person, where t is the number of years since 1980, with data from 0 < t < 20. Examine the equation graphed on a scatter plot of the data. (Round all numerical values to three decimal places.) V(t) = (b) Do you believe that the equation in part (a) is a good fit? The model does not appear to be a good fit. o The model appears to be a good fit. This cannot be determined. (c) The per capita consumption in 2001 had not yet been tabulated when the data in the table were published. What does the quadratic model give as the per capita consumption in 2001? (Round your answer to one decimal place.) X pounds per person (d) According to your model, in what year will consumption exceed 300 pounds per person.
The per capita consumption of commercially produced fresh vegetables in a certain country from 1980 through 2000 was as shown in the accompanying table. Per capita consumption of fresh vegetables in a certain country Vegetable consumption, V (pounds per person) Year 1980 146.1 1985 155 1990 170.1 1995 179.1 2000 202.7 (a) Find the function of the quadratic model that gives the per capita consumption of fresh vegetables in pounds per person, where t is the number of years since 1980, with data from 0 < t < 20. Examine the equation graphed on a scatter plot of the data. (Round all numerical values to three decimal places.) V(t) = (b) Do you believe that the equation in part (a) is a good fit? The model does not appear to be a good fit. o The model appears to be a good fit. This cannot be determined. (c) The per capita consumption in 2001 had not yet been tabulated when the data in the table were published. What does the quadratic model give as the per capita consumption in 2001? (Round your answer to one decimal place.) X pounds per person (d) According to your model, in what year will consumption exceed 300 pounds per person.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter5: A Survey Of Other Common Functions
Section5.5: Quadratic Functions
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Transcribed Image Text:The per capita consumption of commercially produced fresh vegetables in a certain country from 1980 through 2000 was as
shown in the accompanying table.
Per capita consumption of fresh vegetables
in a certain country
Vegetable consumption, V
(pounds per person)
Year
1980
146.1
1985
155
1990
170.1
1995
179.1
2000
202.7
(a) Find the function of the quadratic model that gives the per capita consumption of fresh vegetables in pounds per
person, wheret is the number of years since 1980, with data from 0 sts 20. Examine the equation graphed on a
scatter plot of the data. (Round all numerical values to three decimal places.)
V(t) =
(b) Do you believe that the equation in part (a) is a good fit?
O The model does not appear to be a good fit.
lo The model appears to be a good fit.
O This cannot be determined.
(c) The per capita consumption in 2001 had not yet been tabulated when the data in the table were published. What
does the quadratic model give as the per capita consumption in 2001? (Round your answer to one decimal place.)
X pounds per person
(d) According to your model, in what year will consumption exceed 300 pounds per person.
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