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Solving word
problems involving
Variations
Jessie uses 20 liters of
gasoline to travel 200
kilometers, how many
liters of gasoline will he
use on a trip of 700
2022 Word Problems on Variations 3
Joseph is figuring out a way to
reach Baguio at the shortest
possible time. Using his car,
he can reach Baguio in 6
hours at an average speed of
70 kilometers. How fast should
he drive in order to reach
Baguio in 5 hours?
2022 Word Problems on Variations 4
‘matik na…
2022 Word Problems on Variations 5
…ang ½
crosswise!
Any
questions?
A mailman can sort out 738 letters in
6 hours. If the number of sorted
letters varies directly as the number
of working hours, how many letters
can be sorted out in 9 hours?
2022 Word Problems on Variations 6
The number of days needed in
repairing a house varies inversely as
the number of men working. It takes
15 days for 2 men to repair the
house. How many men are needed to
complete the job in 6 days?
Solving word
problems involving
Variations
The mass of a rectangular sheet of
wood varies jointly as the length and
the width. When the length is 20 cm.
and the width is 10 cm., the mass is
200 grams. Find the mass when the
length is 15 cm. and the width is 10
cm.
2022 Word Problems on Variations 8
The force of attraction, F of a
body varies directly as its mass m
and inversely as the square of the
distance d from the body. When
m = 8 kilograms and d = 5
meters, F = 100 Newtons. Find F
when m = 2 kilograms and d = 15
meters.
2022 Word Problems on Variations 9
The force of attraction, F of a
body varies directly as its mass m
and inversely as the square of the
distance d from the body. When
m = 8 kilograms and d = 5
meters, F = 100 Newtons. Find F
when m = 2 kilograms and d = 15
meters.
2022 Word Problems on Variations 10
‘matik na…
2022 Word Problems on Variations 11
…ang ½
crosswise!
Any
questions?
The area of triangle varies jointly as
the base and the height. A triangle
with a base of 8 cm. and a height of
9 cm., has an area of 36 square cm.
Find the area when the base is 10
cm. and the height is 7 cm.
2022 Word Problems on Variations 12
The amount of gasoline used by a
car varies jointly as the distance
travelled and the square root of the
speed. Suppose a car used 25 liters
on a 100 kilometer trip at 100 km/hr.
About how many liters will it use on
a 192 kilometer trip at 64 km/hr?
2022 Word Problems on Variations 13
The acceleration a of an object varies
directly as the force f exerted and
inversely as its mass m. If the
constant of variation is 1, find the
acceleration in meters/second 𝟐
of a
10-kilogram object exerting a force
of
10 Newtons.
2022 Word Problems on Variations 14
The acceleration a of an object varies
directly as the force f exerted and
inversely as its mass m. If the
constant of variation is 1, find the
acceleration in meters/second 𝟐
of a
10-kilogram object exerting a force
of
10 Newtons.
2022 Word Problems on Variations 15
The current I varies directly as the
electromotive force E and inversely as
the resistance R. If in a system a current
of 20 amperes flows through a
resistance of 20 ohms with an
electromotive force of 100 volts, find the
current that 150 volts , and the same
resistance will send through the system.
2022 Word Problems on Variations 16
The current I varies directly as the
electromotive force E and inversely as
the resistance R. If in a system a current
of 20 amperes flows through a
resistance of 20 ohms with an
electromotive force of 100 volts, find the
current that 150 volts , and the same
resistance will send through the system.
2022 Word Problems on Variations 17
thank you
mirjam nilsson
mirjam@contoso.com
www.contoso.com
20XX presentation title 19
20XX presentation title 20
webqr.com
primary goals
areas of growth
B2B SUPPLY CHAIN ROI E-COMMERCE
Q1 4.5 2.3 1.7 5.0
Q2 3.2 5.1 4.4 3.0
Q3 2.1 1.7 2.5 2.8
Q4 4.5 2.2 1.7 7.0
20XX presentation title 22
plan for product launch
PLANNING synergize scalable e-commerce
MARKETING disseminate standardized metrics
DESIGN coordinate e-business applications
STRATEGY foster holistically superior methodologies
LAUNCH deploy strategic networks with compelling e-business needs
20XX presentation title 23
timeline
SEP 20XX
synergize scalable e-commerce
NOV 20XX
disseminate standardized
metrics
JAN 20XX
coordinate e-business
applications
MAR 20XX
foster holistically superior
methodologies
MAY 20XX
deploy strategic networks with
compelling e-business needs
areas of focus
B2B MARKET SCENARIOS
o Develop winning strategies to keep ahead of the
competition
o Capitalize on low-hanging fruit to identify a ballpark value
o Visualize customer directed convergence​
CLOUD-BASED OPPORTUNITIES
o Iterative approaches to corporate strategy
o Establish a management framework from the inside
20XX presentation title 25
how we get there
ROI
o Envision multimedia-
based expertise and
cross-media growth
strategies
o Visualize quality
intellectual capital
o Engage worldwide
methodologies with
web-enabled
technologies
NICHE MARKETS
o Pursue scalable
customer service
through sustainable
strategies
o Engage top-line web
services with cutting-
edge deliverables
SUPPLY CHAINS
o Cultivate one-to-one
customer service with
robust ideas
o Maximize timely
deliverables for real-
time schemas
20XX presentation title 26
summary
At Contoso, we believe in giving 110%. By
using our next-generation data
architecture, we help organizations virtually
manage agile workflows. We thrive
because of our market knowledge and
great team behind our product. As our
CEO says, "Efficiencies will come from
proactively transforming how we do
business."​
20XX presentation title 27

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Solving word problems involving Variations.pptx

  • 2.
  • 3. Jessie uses 20 liters of gasoline to travel 200 kilometers, how many liters of gasoline will he use on a trip of 700 2022 Word Problems on Variations 3
  • 4. Joseph is figuring out a way to reach Baguio at the shortest possible time. Using his car, he can reach Baguio in 6 hours at an average speed of 70 kilometers. How fast should he drive in order to reach Baguio in 5 hours? 2022 Word Problems on Variations 4
  • 5. ‘matik na… 2022 Word Problems on Variations 5 …ang ½ crosswise! Any questions?
  • 6. A mailman can sort out 738 letters in 6 hours. If the number of sorted letters varies directly as the number of working hours, how many letters can be sorted out in 9 hours? 2022 Word Problems on Variations 6 The number of days needed in repairing a house varies inversely as the number of men working. It takes 15 days for 2 men to repair the house. How many men are needed to complete the job in 6 days?
  • 8. The mass of a rectangular sheet of wood varies jointly as the length and the width. When the length is 20 cm. and the width is 10 cm., the mass is 200 grams. Find the mass when the length is 15 cm. and the width is 10 cm. 2022 Word Problems on Variations 8
  • 9. The force of attraction, F of a body varies directly as its mass m and inversely as the square of the distance d from the body. When m = 8 kilograms and d = 5 meters, F = 100 Newtons. Find F when m = 2 kilograms and d = 15 meters. 2022 Word Problems on Variations 9
  • 10. The force of attraction, F of a body varies directly as its mass m and inversely as the square of the distance d from the body. When m = 8 kilograms and d = 5 meters, F = 100 Newtons. Find F when m = 2 kilograms and d = 15 meters. 2022 Word Problems on Variations 10
  • 11. ‘matik na… 2022 Word Problems on Variations 11 …ang ½ crosswise! Any questions?
  • 12. The area of triangle varies jointly as the base and the height. A triangle with a base of 8 cm. and a height of 9 cm., has an area of 36 square cm. Find the area when the base is 10 cm. and the height is 7 cm. 2022 Word Problems on Variations 12
  • 13. The amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed. Suppose a car used 25 liters on a 100 kilometer trip at 100 km/hr. About how many liters will it use on a 192 kilometer trip at 64 km/hr? 2022 Word Problems on Variations 13
  • 14. The acceleration a of an object varies directly as the force f exerted and inversely as its mass m. If the constant of variation is 1, find the acceleration in meters/second 𝟐 of a 10-kilogram object exerting a force of 10 Newtons. 2022 Word Problems on Variations 14
  • 15. The acceleration a of an object varies directly as the force f exerted and inversely as its mass m. If the constant of variation is 1, find the acceleration in meters/second 𝟐 of a 10-kilogram object exerting a force of 10 Newtons. 2022 Word Problems on Variations 15
  • 16. The current I varies directly as the electromotive force E and inversely as the resistance R. If in a system a current of 20 amperes flows through a resistance of 20 ohms with an electromotive force of 100 volts, find the current that 150 volts , and the same resistance will send through the system. 2022 Word Problems on Variations 16
  • 17. The current I varies directly as the electromotive force E and inversely as the resistance R. If in a system a current of 20 amperes flows through a resistance of 20 ohms with an electromotive force of 100 volts, find the current that 150 volts , and the same resistance will send through the system. 2022 Word Problems on Variations 17
  • 20. 20XX presentation title 20 webqr.com
  • 22. areas of growth B2B SUPPLY CHAIN ROI E-COMMERCE Q1 4.5 2.3 1.7 5.0 Q2 3.2 5.1 4.4 3.0 Q3 2.1 1.7 2.5 2.8 Q4 4.5 2.2 1.7 7.0 20XX presentation title 22
  • 23. plan for product launch PLANNING synergize scalable e-commerce MARKETING disseminate standardized metrics DESIGN coordinate e-business applications STRATEGY foster holistically superior methodologies LAUNCH deploy strategic networks with compelling e-business needs 20XX presentation title 23
  • 24. timeline SEP 20XX synergize scalable e-commerce NOV 20XX disseminate standardized metrics JAN 20XX coordinate e-business applications MAR 20XX foster holistically superior methodologies MAY 20XX deploy strategic networks with compelling e-business needs
  • 25. areas of focus B2B MARKET SCENARIOS o Develop winning strategies to keep ahead of the competition o Capitalize on low-hanging fruit to identify a ballpark value o Visualize customer directed convergence​ CLOUD-BASED OPPORTUNITIES o Iterative approaches to corporate strategy o Establish a management framework from the inside 20XX presentation title 25
  • 26. how we get there ROI o Envision multimedia- based expertise and cross-media growth strategies o Visualize quality intellectual capital o Engage worldwide methodologies with web-enabled technologies NICHE MARKETS o Pursue scalable customer service through sustainable strategies o Engage top-line web services with cutting- edge deliverables SUPPLY CHAINS o Cultivate one-to-one customer service with robust ideas o Maximize timely deliverables for real- time schemas 20XX presentation title 26
  • 27. summary At Contoso, we believe in giving 110%. By using our next-generation data architecture, we help organizations virtually manage agile workflows. We thrive because of our market knowledge and great team behind our product. As our CEO says, "Efficiencies will come from proactively transforming how we do business."​ 20XX presentation title 27