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Upon his retirement from major league baseball, Roger decided to inv

Upon his retirement from major league baseball, Roger decided to inv

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Upon his retirement from major league baseball, Roger

decided to invest his millions in an existing Major League

Baseball (MLB) franchise. Near the end of the 2008

baseball season, he bought the Arkansas Hogs. The

previous owner, Joe had owned the team for 20 years and

had watched team decline after successful seasons in the

1980\'s and early 1990\'s. Roger hopes to restore the

team to prominence in the league.

1. Soon after purchasing the team, Roger researched

previous attendance at Hog games. At first he could find

only records of ticket sales. Later he was able to find the

data from the scanners at the gates to come up with actual

attendance at each game. With this data, he calculated

annual average attendance for all home games; however,

he had to limit his calculations to the period from 8 years

prior to Joe\'s purchase of the team through 15 years

after. There were too many games for which the scanner

info was misplaced to calculate averages for the last few

years before he bought the team. The graph below shows

the average actual attendance at home games by year

based on attendees scanned at the gates.

a. What is the vertex of the graph.

b. Contextually, what does the vertex of the graph

represent?

c. Write a formula to express the function for average

attendance per year, as shown in the graph, as a

piecewise function, and specify an appropriate domain for

the formula.

d. Write a formula to express the function for average

attendance per year, as shown in the graph as a

transformation of the absolute value function.

e. According to this model, in what years was the average

attendance 28,000 fans per game? Explain your answer

both graphically and algebraically.

f. According to this model, in what years was the average

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attendance less than 20,000 fans per game? Explain your

answer graphically and algebraically.

Upon his retirement from major league baseball, Roger

decided to invest his millions in an existing Major League

Baseball (MLB) franchise. Near the end of the 2008

baseball season, he bought the Arkansas Hogs. The

previous owner, Joe had owned the team for 20 years and

had watched team decline after successful seasons in the

1980\'s and early 1990\'s. Roger hopes to restore the team

to prominence in the league. Soon after purchasing the

team, Roger researched previous attendance at Hog

games. At first he could find only records of ticket sales.

Later he was able to find the data from the scanners at the

gates to come up with actual attendance at each game.

With this data, he calculated annual average attendance

for all home games; however, he had to limit his

calculations to the period from 8 years prior to Joe\'s

purchase of the team through 15 years after. There were

too many games for which the scanner info was misplaced

to calculate averages for the last few years before he

bought the team. The graph below shows the average

actual attendance at home games by year based on

attendees scanned at the gates.

Solution

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Upon his retirement from major league baseball, Roger decided to invest his millions in an existing Major League Baseball (MLB) franchise. Near the end of the 2008 baseball season, he bought the Arkansas Hogs. The previous owner, Joe had owned the team for 20 years and had watched team decline after successful seasons in the 1980\'s and early 1990\'s. Roger hopes to restore the team to prominence in the league. 1. Soon after purchasing the team, Roger researched previous attendance at Hog games. At first he could find only records of ticket sales. Later he was able to find the data from the scanners at the gates to come up with actual attendance at each game. With this data, he calculated annual average attendance for all home games; however, he had to limit his calculations to the period from 8 years prior to Joe\'s purchase of the team through 15 years after. There were too many games for which the scanner info was misplaced to calculate averages for the last few years before he bought the team. The graph below shows the average actual attendance at home games by year based on attendees scanned at the gates. a. What is the vertex of the graph. b. Contextually, what does the verte ...
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