The following function models the average typing speed S, in words per minute, of a student who has been typing for t months. S(t) = 5 + 28 ln(t + 1),    0 ≤ t ≤ 16 (a) What was the student's average typing speed, to the nearest word per minute, when the student first started to type?  words/min What was the student's average typing speed, to the nearest word per minute, after 5 months?  words/min (b) Determine how long, to the nearest tenth of a month (one decimal place), it will take the student to achieve an average typing speed of 75 words per minute.  months

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
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The following function models the average typing speed S, in words per minute, of a student who has been typing for t months.

S(t) = 5 + 28 ln(t + 1),    0 ≤ t ≤ 16
(a) What was the student's average typing speed, to the nearest word per minute, when the student first started to type?
 words/min

What was the student's average typing speed, to the nearest word per minute, after 5 months?
 words/min

(b) Determine how long, to the nearest tenth of a month (one decimal place), it will take the student to achieve an average typing speed of 75 words per minute.
 months
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