Write 2 matrices to organize the data BE sure to label Ms Gagliano has several students on the cross country team this year Mary who runs a mile in 8 min and 30 sec ran 45 miles on Monday and 42 miles on Tuesday ID: 558159
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Slide1
Matrix Madness!Slide2
Write 2 matrices to organize the data!!!!! BE sure to label!!
Ms.
Gagliano has several students on the cross country team this year. Mary, who runs a mile in 8 min. and 30 sec. ,
ran 4.5 miles on Monday and 4.2 miles on Tuesday
.
Jessica
, who runs a mile in
7 minutes and 45 sec
., ran
4 miles on Monday and 3.75 miles on Tuesday
.
Violet
, who runs a mile in
9 min 15 sec
., ran
5 miles on Monday but missed practice on Tuesday
.
Amanda
is the fastest and runs a mile in
5 min. and 45 sec
. She
ran 3.5 miles on Monday and 5 miles on Tuesday
.
BE SURE TO SET THEM UP IN SUCH A WAY THAT YOU CAN MULTIPLY THEM TOGETHER!Slide3
Hint:
ONE MATRIX should contain their distances
and
ONE MATRIX SHOULD CONTAIN HOW FAST THEY RUN
REMEMBER
:
BE SURE TO SET THEM UP IN SUCH A WAY THAT YOU CAN MULTIPLY THEM TOGETHER!Slide4
Did you create a 2 x 4 and a 4 x 1?
OR
Did you create a 1 x 4 and a 4 x 2?Slide5
A 2x4 MATRIX
Mary
Jessica
Violet
Amanda
#
of Miles Run on Monday
4.5
4
5
3.5
# of Miles Run on Tuesday
4.2
3.705
TIME PER MILE IN MINUTES
MARY
8.5
JESSICA7.75VIOLET9.25AMANDA5.75Slide6
A 4
x2 MATRIX
# of Miles run on MONDAY# of
Miles run on TUESDAY
MARY
4.5
4.2
JESSICA
4
3.75
VIOLET
5
0AMANDA3.55
MARY
JESSICAVIOLETAMANDA
TIME PER MILES IN MINUTES8.5
7.759.255.75Slide7
How many total minutes did the students in Ms.
gagliano’s class run on Monday and on Tuesday?
Ms. Gagliano has several students on the cross country team this year. Mary, who runs a mile in 8 min. and 30 sec
. ,
ran 4.5 miles on Monday and 4.2 miles on Tuesday
.
Jessica
, who runs a mile in
7 minutes and 45 sec
., ran
4 miles on Monday and 3.75 miles on Tuesday
.
Violet
, who runs a mile in 9 min 15 sec., ran 5 miles on Monday but missed practice on Tuesday. Amanda is the fastest and runs a mile in 5 min. and 45 sec. She ran 3.5 miles on Monday and 5 miles on Tuesday.. Slide8
One possibilitySlide9
[135.625 min 93.5125 min]Slide10
Ms.
Gagliano wants to create 2
Halloween costumes, Mr. and Mrs. Incredible. She needs three different types of fabric for each. For Mrs. Incredible, she needs 2 yards of red spandex, 1.25 yards of black cotton, and .5 yards of yellow felt. For
Mr.
Incredible
, she needs
3.75
yards of red spandex,
1.75
yards of black cotton, and .5 yards of yellow felt. Slide11
Write one matrix to organize the data!
BE
sure to label!Slide12
Write a matrix and use it to find the total cost to make EACH costume if the
red spandex cost $10.50 a yard, black cotton costs $5.75 a yard and the yellow felt costs $3.99 a yard. Slide13
Write 1 matrix to organize the data
Mr. Incredible Mrs. IncredibleRed 3.75 2
Black 1.75 1.25Yellow .5 .5 Red Black Yellow
Mr. I 3.75 1.75 .5
Mrs. I 2 1.25 .5Slide14
[10.5 5.75 3.99]
Mr. Incredible Mrs. IncredibleRed 3.75 2
Black 1.75 1.25Yellow .5 .5 Red Black YellowMr. I 3.75 1.75 .5
Mrs. I 2 1.25 .5
[10.5
5.75
3.99]Slide15
[ $51.44 $30.19 ]
so, mr. I’s costume was $51.44 and Mrs. I’s Costume was $30.19Slide16
Let’s do #10 in your HW!
A manufacturing company that makes fine leather bags has 3 factories: one in New York, one in Nebraska, and one in California.One of the bags they make comes in 3 styles – handbag, standard shoulder bag and roomy shoulder bag.
The production of each bag requires 3 kinds of work – cutting the leather, stitching the bag and
finishing the bag,Slide17
Matrix T gives the time (in hours) of each type of work required to make each bag type:
cutting
stitching
finishing
handbag
0.4
0.6
0.4
standard
0.5
0.8
0.5
roomy
0.61.00.6Slide18
Matrix P gives daily production capacity of each of the factories:
HANDBAG
SHOULDER
ROOMY
NEW YORK
10
15
20
NEBRASKA
25
15
12
CALI
20
12
10Slide19
Matrix
W provides the hourly wages of the different workers at each factory
Cutting
Stitching
Finishing
NEW
YORK
7.50
8.50
9.00
NEBRASKA
7.00
8.00
8.50
CALI8.409.60
10.10Slide20
MATRIX
D contains the total orders received at each factory for the months of june and may
MAY
JUNE
HANDBAG
600
800
STANDARD
800
1,000
ROOMY
400
600Slide21
Matrix T can be described as ( BAG x WORK) matrix
Your job: Describe matrix D, W and P with words.Slide22
Matrix T can be described as ( BAG x WORK) matrix
Your job: Describe matrix D, W and P with words.Slide23
Find the hours of each type of work needed each month to fill all orders.
Tell me who to Multiply?Slide24
Find the hours of each type of work needed each month to fill all orders.
Tell me who to Multiply?Slide25
Find the production cost per bag at each factory.
Tell me who to Multiply?Slide26
Find the production cost per bag at each factory.
Tell me who to Multiply?Slide27
Find the cost of filling all may orders at the
nebraska factory.Tell me who to Multiply?Slide28
Find the cost of filling all may orders at the
nebraska factory.Tell me who to Multiply?Slide29
Find the daily hours of each type of work needed at each factory.
Tell me who to Multiply?Slide30
Find the daily hours of each type of work needed at each factory.
Tell me who to Multiply?