1. The time required for a group of men to complete a certain job is inversely proportional to the number members in the group. If a job can be done by a group of 15 members in 12 hours, how many members is needed to complete the job in 9 hours? 2. The distance fallen by a body, starting from the position of rest in a vacuum near the earth surface, is proportional to the square of the time occupied in falling. If a body falls 256 feet in 4 seconds, how far will it fall in 10 seconds?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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V. Form the variation equation then find the required quantity.
1. The time required for a group of men to complete a certain job is inversely proportional to
the number members in the group. If a job can be done by a group of 15 members in 12
hours, how many members is needed to complete the job in 9 hours?
2. The distance fallen by a body, starting from the position of rest in a vacuum near the earth
surface, is proportional to the square of the time occupied in falling. If a body falls 256 feet
in 4 seconds, how far will it fall in 10 seconds?
Transcribed Image Text:V. Form the variation equation then find the required quantity. 1. The time required for a group of men to complete a certain job is inversely proportional to the number members in the group. If a job can be done by a group of 15 members in 12 hours, how many members is needed to complete the job in 9 hours? 2. The distance fallen by a body, starting from the position of rest in a vacuum near the earth surface, is proportional to the square of the time occupied in falling. If a body falls 256 feet in 4 seconds, how far will it fall in 10 seconds?
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