The American Court Reporter Institute finds that the average student taking Elementary Machine Shorthand will progress at a rate given by dQ = k(80 – Q) dt in a 20-week course, where Q(t) measures the number of words of dictation a student can take per minute after t weeks in the course. If the average student can take 50 words of dictation per minute after 9 weeks in the course, how many words per minute can the average student take after completing the course. (Assume the student initially takes 0 words per minute.) Round your answer to the nearest word.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Section2.1: Tables And Trends
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The American Court Reporter Institute finds that the average student taking Elementary Machine
Shorthand will progress at a rate given by
OP
d = k(80 – Q)
in a 20-week course, where Q(t) measures the number of words of dictation a student can take per
minute after t weeks in the course. If the average student can take 50 words of dictation per minute
after 9 weeks in the course, how many words per minute can the average student take after
completing the course. (Assume the student initially takes 0 words per minute.) Round your answer
to the nearest word.
Transcribed Image Text:The American Court Reporter Institute finds that the average student taking Elementary Machine Shorthand will progress at a rate given by OP d = k(80 – Q) in a 20-week course, where Q(t) measures the number of words of dictation a student can take per minute after t weeks in the course. If the average student can take 50 words of dictation per minute after 9 weeks in the course, how many words per minute can the average student take after completing the course. (Assume the student initially takes 0 words per minute.) Round your answer to the nearest word.
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