The American Court Reporting Institute finds that the average student taking Advanced Machine Shorthand, an intensive 20-week course, progresses according to the function , , where Q(t) measures the number of words (per minute) of dictation that the student can take in machine shorthand after t weeks in the course.Sketch the graph of the function Q and answer the following questions:
a.What is the beginning shorthand speed for the average student in this course?
b. What shorthand speed does the average student attain halfway through the course?
c. How many words per minute can the average student take after completing this course?
A) a.75 words/min b.126 words/min c.157 words/min
B) a.65 words/min b.116 words/min c.147 words/min
C) a.55 words/min b.106 words/min c.137 words/min

Question

The American Court Reporting Institute finds that the average student taking Advanced Machine Shorthand, an intensive 20-week course, progresses according to the function  ,  , where Q(t) measures the number of words (per minute) of dictation that the student can take in machine shorthand after t weeks in the course.Sketch the graph of the function Q and answer the following questions: 
a.What is the beginning shorthand speed for the average student in this course?
b. What shorthand speed does the average student attain halfway through the course?
c. How many words per minute can the average student take after completing this course?
A) a.75 words/min b.126 words/min c.157 words/min 
B) a.65 words/min b.116 words/min c.147 words/min 
C) a.55 words/min b.106 words/min c.137 words/min

Quizplus · Accepted Answer

a. From the given function, Q(0) = 65. Therefore, the beginning shorthand speed for the average student in this course is 65 words/min.
b. Halfway through the course, t = 10 weeks. Therefore, Q(10) = 116. This is the shorthand speed that the average student attains halfway through the course.
c. When the course is completed, t = 20 weeks. Therefore, Q(20) = 147. This is the number of words per minute that the average student can take after completing this course.

The American Court Reporting Institute Finds That the Average Student