Solve.
-A mathematical model for the average of a group of people learning to type is given by N(t) = 10 + 6 ln t, t ≥ 1, where N(t) is the number of words per minute typed after t hours of instruction and practice (2 hours per day, 5
Days per week). What is the rate of learning after 50 hours of instruction and practice?
A) 0.1 words per minute typed per hour of instruction and practice
B) 0.15 words per minute typed per hour of instruction and practice
C) 0.5 words per minute typed per hour of instruction and practice
D) 0.12 words per minute typed per hour of instruction and practice

Question

Quizplus · Accepted Answer

To find the rate of learning after 50 hours of instruction and practice, we need to find the derivative of N(t) with respect to t:

N'(t) = 6/t

At 50 hours of instruction and practice, t = 50, so:

N'(50) = 6/50 = 0.12

Therefore, the rate of learning after 50 hours of instruction and practice is 0.12 words per minute typed per hour of instruction and practice.

The answer is D. The rate of learning is given by the derivative of N(t) with respect to t:

N'(t) = 6/t

After 50 hours of instruction and practice (t = 50), the rate of learning is:

N'(50) = 6/50 = 0.12 words per minute typed per hour of instruction and practice

Therefore, the answer is D (0.12 words per minute typed per hour of instruction and practice).

Solve. -A Mathematical Model for the Average of a Group of of People