The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with respect to time t is given dE by =30-10t, 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 72%; that is, E (2) = 72. b) Use the answer in part (a) to find the operator's efficiency after 3 hr; after 5 hr.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter10: Exponential And Logarithmic Functions
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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
dE
-30-10t, where t is the number of hours the operator has been at work.
by
a) Find E(t), given that the operator's efficiency after working 2 hr is 72%; that is, E(2) = 72.
b) Use the answer in part (a) to find the operator's efficiency after 3 hr; after 5 hr.
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 dE -30-10t, where t is the number of hours the operator has been at work. by a) Find E(t), given that the operator's efficiency after working 2 hr is 72%; that is, E(2) = 72. b) Use the answer in part (a) to find the operator's efficiency after 3 hr; after 5 hr.
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