3.) The distance that a car can travel varies directly with the number of liters of gasoline in the tank. If a car can go 112 kilometers on 14 liters of gas, how far can it go on 9 liters? 4.) The number of days a bag of bread lasts varies inversely as the numbr f people who consume it. If a bag of bread lasts 7 days for 12 people, how long will it last for 3 people?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
Problem 19P
icon
Related questions
Question

Please help me answer number 3 and 4 with complete solution

PROBLEMS INVOLVING VARIATIONS
1.) The number of hours h that it takes m men to assemble x machines varies directly
as the number of machines and inversely as the number of men. If four men can
assemble 12 machines in four hours, how many men are needed to assemble 36
machines in eight hours?
2.) The amount of money raised at a charity fundraiser is directly proportional to the
number of attendees. The amount of money raised for five attendees was $100.
How much money will be raised for 60 attendees?
3.) The distance that a car can travel varies directly with the number of liters of
gasoline in the tank. If a car can go 112 kilometers on 14 liters of gas, how far can
it go on 9 liters?
4.) The number of days a bag of bread lasts varies inversely as the numb of people
who consume it. If a bag of bread lasts 7 days for 12 people, how long will it last
for 3 people?
5.) The speed (S) of the swing varies inversely as the weight (W) of the person. Elaine
who weighs 50 kg able to swing for 2 meters per seconds. How far can Sarah
swings if she weighs 25 kg?
Transcribed Image Text:PROBLEMS INVOLVING VARIATIONS 1.) The number of hours h that it takes m men to assemble x machines varies directly as the number of machines and inversely as the number of men. If four men can assemble 12 machines in four hours, how many men are needed to assemble 36 machines in eight hours? 2.) The amount of money raised at a charity fundraiser is directly proportional to the number of attendees. The amount of money raised for five attendees was $100. How much money will be raised for 60 attendees? 3.) The distance that a car can travel varies directly with the number of liters of gasoline in the tank. If a car can go 112 kilometers on 14 liters of gas, how far can it go on 9 liters? 4.) The number of days a bag of bread lasts varies inversely as the numb of people who consume it. If a bag of bread lasts 7 days for 12 people, how long will it last for 3 people? 5.) The speed (S) of the swing varies inversely as the weight (W) of the person. Elaine who weighs 50 kg able to swing for 2 meters per seconds. How far can Sarah swings if she weighs 25 kg?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax