dE 3D25-8t, where t is the number of hours the operator has been at work dt The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with respect to time t is given by a) Find E(t), given that the operator's efficiency after working 2 hr is 67%, that is, E(2) = 67. b) Use the answer in part (a) to find the operator's efficiency after 3 hr, after 5 hr. a) E(t) = b) The operator's efficiency after 3 hours is % The operator's efficiency after 5 hours is

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with respect to time t is given by
dE
- = 25 - 8t, where t is the number of hours the operator has been at work.
dt
a) Find E(t), given that the operator's efficiency after working 2 hr is 67%; that is, E(2) = 67.
b) Use the answer in part (a) to find the operator's efficiency after 3 hr, after 5 hr.
a) E(t) =|
b) The operator's efficiency after 3 hours is %
The operator's efficiency after 5 hours is
%.
Transcribed Image Text:The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with respect to time t is given by dE - = 25 - 8t, where t is the number of hours the operator has been at work. dt a) Find E(t), given that the operator's efficiency after working 2 hr is 67%; that is, E(2) = 67. b) Use the answer in part (a) to find the operator's efficiency after 3 hr, after 5 hr. a) E(t) =| b) The operator's efficiency after 3 hours is % The operator's efficiency after 5 hours is %.
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