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The Smiths planned out their
day at Metrotown upon arrival. Mrs. Smith needed
to visit the bank and Mr. Smith wanted to do some grocery shopping. The
kids would get their wishes and be able to eat, play, shop, walk, and
watch! While Mr. and Mrs. Smith went there own ways, the kids ran to the
large mall directory. Melanie and Sara made their way around the mall
bargain hunting for clothes while Marcus and Susie ventured off to look at
different items.
Metrotown Mall is split up into two
sections – Metropolis at Metrotown and Metrotown Centre. It
has a wide variety of shops and businesses.
As you have calculated before, you know that the mall is extremely big
and covers a large area (the largest in
Access the mall directory by visiting the website:
http://metropolis.shopping.ca/cambridge/jsp3/md_sl.jsp?mallid=met
Click on the Search By Category
option to answer the following questions.
1)
Melanie and Sara wanted to make the most of their time
at Metrotown.
They wanted to see what kinds of stores were at the mall. They wanted to find out where their favorite
stores were located – either at Metropolis or Metrotown
Centre. Count the number of stores found
in each of the following categories.
|
Categories |
# of
stores at Metropolis |
# of
stores at Metrotown Centre |
Total #
of Stores for the Category |
|
Accessories |
20 |
15 |
35 |
|
Children’s Fashion |
4 |
1 |
5 |
|
Department Stores |
0 |
3 |
3 |
|
Drugs, Cosmetics and
Health |
11 |
8 |
19 |
|
Food Services |
46 |
27 |
73 |
|
Footwear |
8 |
6 |
14 |
|
General Merchandise and
Stationary |
15 |
14 |
29 |
|
Home Furnishings |
8 |
13 |
21 |
|
Leisure and Recreation |
19 |
13 |
32 |
|
Mall Entertainment |
2 |
1 |
3 |
|
Men’s Fashion |
7 |
4 |
11 |
|
Services |
29 |
31 |
60 |
|
Unisex and Speciality
Fashion |
30 |
14 |
44 |
|
Woman’s Fashion |
23 |
15 |
38 |
2)
Melanie and Sara really wanted to go look at
clothes. They wanted all the latest new
fashions. If they want to go to the side
of the mall with the largest number of children’s fashion stores, where should
they go? How many more stores are on
this side when compared to the other side of the mall?
They should go to Metropolis at Metrotown
as it has 222 stores while there are only 165 at Metrotown
Centre. Taking the difference between
those two numbers, there are 57 more stores on the Metropolis side of the Mall.
1)
Using the total number of stores column, calculate the
percentage of business in each category.
If your percentage totals do not add up to 100%, please explain why it
is not the case? What can you say about
the data? Melanie was curious which
category had the most stores, while Sara wanted to find out which category had
the least. Can you tell her which one
had the most stores and which had the least?
Can you explain why this is the case?
|
Categories |
Total %
of Stores for the Category |
|
Accessories |
9.0% |
|
Children’s Fashion |
1.3% |
|
Department Stores |
0.8% |
|
Drugs, Cosmetics and
Health |
4.9% |
|
Food Services |
18.9% |
|
Footwear |
3.6% |
|
General Merchandise and
Stationary |
7.5% |
|
Home Furnishings |
5.4% |
|
Leisure and Recreation |
8.3% |
|
Mall Entertainment |
0.8% |
|
Men’s Fashion |
2.8% |
|
Services |
15.5% |
|
Unisex and Speciality
Fashion |
11.4% |
|
Woman’s Fashion |
9.8% |
If the percentages
do not add up to 100%, it may be due to the rounding that takes place. You may be a bit off due to rounding
error. Answers may vary about what you
can say about the mall data. The most
stores occur in the Food Services category – where the store size is small, but
the selection is large. The least stores
occur in the department stores and mall entertainment categories – where the
store size is large, but the selection is small.
2)
Calculate the ratio of Metropolis Stores to Metrotown Centre Stores.
The ratio of
Metropolis stores to Metrotown Centre is 222:165, or
reduced 74:55
3)
Do the two sides of the mall cater to different
people, or do they aim for the same customers based on the stores that are
located in the entire mall? Explain.
Answers may
vary. They can comment about how Metrotown Centre has the large department stores while
Metropolis seems to have the larger food court.
4)
The kids noticed something particular on the Mall
Directory. Some stores were located in
both sections of Metrotown Mall. What are the names of these stores?
A and W, KFC, Mrs. Vanelli, New York Fries, Orange Julius, Little Monk
Pretzel, Eccotique Day Spa, Hallmark, Bell World,
Radio Shack, Champs Sports, International Clothiers, Bootlegger
5)
Mr. and Mrs. Smith need to head to Superstore to
purchase some grocery items. From
looking at the Mall Directly, the kids determined the shortest way to get to
Superstore. The family has just got off
the bus, and has just stepped in the buses entrance of the mall.
Looking at the map below, Mel
and Sara determined the SCALE FACTOR used to produce the Mall Directory. They measured the distance on the map to be 8
centimetres.
What is the scale factor for Metropolis?
Note that the distance between the
front entrance of Coast Mountain Sports to Chapters is
actually 200 metres. This will help you calculate the
scale factor.
The scale factor is
8 cm to 200 m or 1 cm to 25 m. If all
units were in centimeters, then the scale factor is 1 cm to 2500 cm.
6)
Since you are at the bus loop, the kids measured the
distance on the Mall Directory from the buses entrance to the entrance of
Superstore (denoted by 1J) to be 11 centimetres. Using your scale factor calculated in
question #7, determine the distance the parents would
need to travel to arrive at the front entrance of Superstore.
11 centimetres * (25 m / 1 cm) = 250 metres.
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7)
Little Sara then asked Melanie a profound
question. She asked, “What is the actual
length of all the corridors located on the Main Level of Metropolis at Metrotown?” Can you
answer that for her? Melanie then measured the total distance of the corridors
and found it to be 23.5 centimetres.
23.5 centimetres * (25 m / 1 cm) = 587.5 metres
8)
The actual distance between Sears and Zellers is 250 metres. Calculate the SCALE FACTOR used for the Mall
Directory detailing Metrotown Centre if the measurement
of the corridors on the Mall Directory total 17.3 centimetres.
The scale factor is
17.3 cm to 250 m or 1 cm to 14.45 m. If
all units were in centimeters, then the scale factor is 1 cm to 1445 cm.
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9)
The children remembered that their parents wanted to
go to the big department stores to look at buying a new bed spread. They wanted to impress their parents by
finding out the Using the scale factor calculated in question #10 and the fact
that the mall corridors are 10.4 cm long, determine the distance between the
Bay and Zellers.
10.4 centimetres * (14.45 m / 1 cm) = 150.28 metres
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Melanie and Sara commented
that this math calculation stuff is hard work and all this walking that they do
takes a lot of energy. Sara noticed that
when they walk from the Bay to Zellers, they’ll pass
by Metrotown Centre’s new
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