The total amount of fresh vegetables consumed per person per year can be modeled by V(t) = 0.7(t - 1.5)2 + 95.4, where V(t) is the total amount of fresh vegetables consumed per person in pounds per year t years since 2000.t (a) Find V(2) and explain its meaning. (Round your answers to the nearest integer. Include units in your answers as appropriate. More information.) In the year the total fresh vegetables consumed per person was about (b) Find the vertex of this model and explain its meaning. (Round your answers to one decimal place. Include units in your answers as appropriate. More information.) The vertex for this model is (t, V) = which means that midway through the year , the total amount of fresh vegetables consumed per person reached a minimum of about (c) Sketch a graph of this model for the years 2000 through 2010. 160 Years 100 Pounds since 2000 140 80 60 120 40 100 20 Years since 2000 8 Pounds 2 4 6 8 10 12 2 4 6 10 12 160 Pounds Years 100 since 2000 140 80 60 120 40 L00 20 Pounds Years since 2000 4. 6 8 10 12 4 6 8 10 12 (d) Use your graph to estimate the year(s) when the total amount of fresh vegetables consumed per person per year is 125 pounds. According to the graph, in the year the total amount of fresh vegetables consumed per person was 125 pounds.

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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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The total amount of fresh vegetables consumed per person per year can be modeled by
v(t) = 0.7(t - 1.5)2 + 95.4,
where V(t) is the total amount of fresh vegetables consumed per person in pounds per year t years since 2000.t
(a) Find V(2) and explain its meaning. (Round your answers to the nearest integer. Include units in your answers as
appropriate. More information.)
In the year
the total fresh vegetables consumed per person was about
(b) Find the vertex of this model and explain its meaning. (Round your answers to one decimal place. Include units in your
answers as appropriate. More information.)
The vertex for this model is (t, V) = (
which means that midway through the year
,the total
amount of fresh vegetables consumed per person reached a minimum of about
(c) Sketch a graph of this model for the years 2000 through 2010.
160
Years
100 Pounds
since 2000
140
80
60
120
40
100-
20
Pounds
Years since 2000
2
4
8
6
8
10
12
2
4
10
12
160
Years
Pounds
100 since 2000
140
80
60
120
40
L00
20
Pounds
Years since 2000
4
6
8
10
12
2
4
6
8
10
12 O
(d) Use your graph to estimate the year(s) when the total amount of fresh vegetables consumed per person per year is
125 pounds.
According to the graph, in the year
the total amount of fresh vegetables consumed per person was 125 pounds.
(e) If the domain of this model is [0, 10], find the range.
O [80, 160]
O [97, 150]
О Го, 100]
O [0, 10]
O [95.4, 146]
Transcribed Image Text:The total amount of fresh vegetables consumed per person per year can be modeled by v(t) = 0.7(t - 1.5)2 + 95.4, where V(t) is the total amount of fresh vegetables consumed per person in pounds per year t years since 2000.t (a) Find V(2) and explain its meaning. (Round your answers to the nearest integer. Include units in your answers as appropriate. More information.) In the year the total fresh vegetables consumed per person was about (b) Find the vertex of this model and explain its meaning. (Round your answers to one decimal place. Include units in your answers as appropriate. More information.) The vertex for this model is (t, V) = ( which means that midway through the year ,the total amount of fresh vegetables consumed per person reached a minimum of about (c) Sketch a graph of this model for the years 2000 through 2010. 160 Years 100 Pounds since 2000 140 80 60 120 40 100- 20 Pounds Years since 2000 2 4 8 6 8 10 12 2 4 10 12 160 Years Pounds 100 since 2000 140 80 60 120 40 L00 20 Pounds Years since 2000 4 6 8 10 12 2 4 6 8 10 12 O (d) Use your graph to estimate the year(s) when the total amount of fresh vegetables consumed per person per year is 125 pounds. According to the graph, in the year the total amount of fresh vegetables consumed per person was 125 pounds. (e) If the domain of this model is [0, 10], find the range. O [80, 160] O [97, 150] О Го, 100] O [0, 10] O [95.4, 146]
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