The time to complete a project varies inversely with the number of group members. What is the constant of proportionality, if three people can complete the project in 15 hours, how long will it take three people?
Answers
Given : The time to complete a project varies inversely with the number of group members.
To Find : What is the constant of proportionality, if three people can complete the project in 15 hours,
Solution:
time to complete a project ∝ 1/ number of group members.
=> time to complete a project ∝ k/ number of group members.
k is the constant of proportionality
=> time to complete a project * number of group members. = k
three people can complete the project in 15 hours,
=> 15 * 3 = k
=> 45 = k
Constant of proportionality = 45
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