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 147.1 1985 157 1990 167.1 1995 176.1 200.7 2000 (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 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? OThe model does not appear to be a good fit. OThe model appears to be a good fit. OThis 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.) 190 X pounds per person (d) According to your model, in what year will consumption exceed 225 pounds per person

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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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
147.1
1985
157
1990
167.1
1995
176.1
200.7
2000
(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 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?
OThe model does not appear to be a good fit.
OThe model appears to be a good fit.
OThis 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.)
190
X pounds per person
(d) According to your model, in what year will consumption exceed 225 pounds per person
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 147.1 1985 157 1990 167.1 1995 176.1 200.7 2000 (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 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? OThe model does not appear to be a good fit. OThe model appears to be a good fit. OThis 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.) 190 X pounds per person (d) According to your model, in what year will consumption exceed 225 pounds per person
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