The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 45. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N = 45(1 - ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee (first, find the value of k). (Round your value of k to three decimal places.) (b) How many days should pass before this employee is producing 25 units per day? (Round your answer to the nearest whole number.) days Need Help? Read It Watch It Talk to a Tutor

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 35SE: For the following exercises, consider this scenario: The profit of a company decreased steadily over...
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The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 45. The learning curve for
the number N of units produced per day after a new employee has worked t days is modeled by N = 45(1 - ekt). After 20 days on the job, a new
employee produces 16 units.
(a) Find the learning curve for this employee (first, find the value of k). (Round your value of k to three decimal places.)
(b) How many days should pass before this employee is producing 25 units per day? (Round your answer to the nearest whole number.)
days
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Transcribed Image Text:The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 45. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N = 45(1 - ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee (first, find the value of k). (Round your value of k to three decimal places.) (b) How many days should pass before this employee is producing 25 units per day? (Round your answer to the nearest whole number.) days Need Help? Read It Watch It Talk to a Tutor
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