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MAT099 Module 2 Decimals Worksheet
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The County Fair has usually been held in mid July each year. I wonder if this is the best time? Your committee will need to analyze all the data to determine when to have the fair and how much to charge.
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1. Analyze the data tables below, answering the questions for each one.
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Climate data for the County |
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|
Month |
Jan |
Feb |
Mar |
Apr |
May |
Jun |
Jul |
Aug |
Sep |
Oct |
Nov |
Dec |
Year |
|
Average high °F (°C) |
45 |
52 |
60 |
72 |
80 |
85 |
90 |
90 |
80 |
72 |
54 |
45 |
? |
|
Average low °F (°C) |
26 |
32 |
46 |
54 |
57 |
68 |
74 |
74 |
65 |
54 |
42 |
38 |
? |
|
Precipitation inches (mm) |
2.60 |
2.54 |
2.25 |
.70 |
.18 |
.08 |
.02 |
.09 |
.30 |
.28 |
1.02 |
1.59 |
? |
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a.      Calculate the average high temperature for the year for the county based on the data given in the table. The average should be rounded to the nearest hundredth decimal place. (show work)
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b.     Calculate the average low temperature for the year for the county based on the data given in the table. The average should be rounded to the nearest hundredth decimal place. (show work)
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c.      Calculate the average rainfall for the year for the county based on the data given in the table. The average should be rounded to the nearest hundredth decimal place. Calculate the amount first in inches and then convert to mm. (show work)
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d.     Based on the data presented in the table, what would be the best month to have the fair? Explain your reasoning.
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e.      What month could there be a decrease in attendance due to temperature?Â
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f.       What month could there be a decrease in attendance due to rainfall?
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2. Analyze the attendance data in the table below.
a. Calculate the average attendance for all the years shown.
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|
Year |
Attendance |
|
2014 |
10,300 |
|
2012 |
11, 230 |
|
2011 |
10, 200 |
|
2010 |
10,000 |
|
2009 |
9,600 |
|
2008 |
9,800 |
|
2007 |
10,000 |
|
2006 |
9,833 |
|
2005 |
9,987 |
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Year |
Attendance |
|
2004 |
9,634 |
|
2003 |
8,815 |
|
2002 |
8,981 |
|
2001 |
8,433 |
|
2000 |
8,088 |
|
1999 |
7,245 |
|
1998 |
7,230 |
|
1997 |
7,859 |
|
AVG |
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b. Is the data consistent year after year? Please explain any patterns or changes you see in the data.
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c. What might have occurred in 2012 to account for the highest number in attendance? Why might the attendance gone down in 2014?
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d. Based on the analysis of past attendance, what might you expect this year?
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3. To determine what to charge the food vendors, analyze the table below for standard pricing that has been used at other fairs. Decisions of how much space you have will determine what prices you will ultimately choose.
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|
Size |
Outside Cost per day |
 Food Truck Space |
Average amount made per day |
|
8ft x 8ft In-line |
$400.00 |
 |
$1800 |
|
8ft x 8ft Corner |
$430.00 |
 |
$2000 |
|
8ft x 10ft In-line |
$460.00 |
 |
$2400 |
|
8ft x 10ft Corner |
$485.00 |
 |
$2600 |
|
8ft x 15ft In-line |
 |
$520.00 |
$2800 |
|
8ft x 15ft Corner |
 |
$550.00 |
$3000 |
|
9ft x 10ft In-line |
$520.00 |
 |
$3500 |
|
9ft x 10ft Corner |
$550.00 |
 |
$3700 |
|
10ft x 10ft In-line |
$520.00 |
$550.00 |
$4000 |
|
10ft x 10ft Corner |
$550.00 |
$575.00 |
$4500 |
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Some fairs charge a percent of the amount the vendor takes in rather than charging for a site. If a vendor was charged 25% of its total take for one day of the event, and they made on average the amount indicated beside each space, would it be more profitable or the fair committee than if you just charge the flat fee?
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           Example:Â
1.     First Calculate what 25% of 1800 is by multiplying 1800 by the decimal .25 which is the same as 25%.
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.25Â XÂ 1800Â = 450
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2. Now compare the cost per day for the 8 X 8 Inline space to the 25% of intake. The base charge per day is $400. The amount the vendor would pay if they had to give 25% of what they took in to the fair committee would be $450. So it is probably less for them to pay a flat rate. But it is a better deal for the Fair committee to take the 25%.
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Work out this same relationship for each of the size spaces for the different vendors. Show your work for each.
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What recommendation would you make to the Fair Committee? Charge a flat fee based on size of space or charge each vendor 25% of their sales regardless of the size of their space? Why?
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4.  Now you need to determine how much you will most likely receive from the ride operators. They will not only use up a large space at the fair but will also need electricity that you will be supplying. Use the information below to determine how much the fair will likely make in one day on the rides.
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In general fairs charge around $40 additional per day for electricity.Â
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Your committee has already decided to not charge an additional fee for space but will take 20% of ride ticket sales.Â
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|
Ride |
Rental Cost for 4 day fair |
Average # of tickets sold per day last year |
|
Dizzy Dino (kiddy Ride) |
$3500 |
12000 (children and adults with young children) |
|
Merry Go Round |
$3500 |
12000Â (children and adults with young children) |
|
Ferris Wheel |
$5000 |
20000 |
|
Double Ferris Wheel |
$5000 |
20000 |
|
Roller Coaster |
$5000 |
15000 |
|
Train (kiddy ride) |
$3500 |
12000Â (children and adults with young children) |
|
Bumper Cars |
$5000 |
10000 |
|
Swings |
$5000 |
10000 |
|
Tilt a Whirl |
$5000 |
15000 |
|
Gravitron |
$6500 |
20000 |
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There is expected to be 10000 people per day at the four day event. About one third (1/3) of these are children. However, the most of the children require an adult to ride with them.
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Tickets cost $1 each for both child and adult fare.Â
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           a. Calculate the total cost of renting the rides for the fair  ÂÂÂÂ______________________.
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All children’s rides take one ticket each.
All adult rides take two tickets each (except the Gravitron)
The Gravitron takes 3 tickets
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b. How many people rode rides last year based on how many tickets it took to ride each ride? _______________________________________________.
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c. If you want to sell 1.75 as many tickets this year than you sold last year, how many tickets would you have to sell in total?
           To set up the problem to determine this:
           Multiply 1.75 X the total number of tickets sold last year
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d. Is it reasonable to rent the same rides at the price listed or would you change the rides or number of children and adult rides? Why?
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5.  Now that you have completed all the analysis and answered all the questions on the worksheet, you are ready to make some recommendations on the following:
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|
FOOD VENDORS |
RECOMMENDATION |
REASONING |
|
Small Food Vendors |
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 |
|
Large Food Vendors and Food Trucks |
 |
 |
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Fill in the table below with the recommended number of rides for each level based on projected ticket sales. Remember you want to attract the largest number of visitors but also want to take in the most money by selling the largest number of tickets. Â
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RIDE TYPE |
NUMBER RECOMMENDED |
|
Children’s |
 |
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Adult |
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Super Size |
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