Solve.
-A mathematical model for the average of a group of people learning to type is given by 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) 0.5 words per minute typed per hour of instruction and practice
B) 0.12 words per minute typed per hour of instruction and practice
C) 0.1 words per minute typed per hour of instruction and practice
D) 0.15 words per minute typed per hour of instruction and practice

Question

Solve. 
-A mathematical model for the average of a group of people learning to type is given by  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) 0.5 words per minute typed per hour of instruction and practice 
B) 0.12 words per minute typed per hour of instruction and practice 
C) 0.1 words per minute typed per hour of instruction and practice 
D) 0.15 words per minute typed per hour of instruction and practice

Quizplus · Accepted Answer

To find the rate of learning after 50 hours, we need to take the derivative of N(t) with respect to t and evaluate it at t=50.

N(t) = 11ec60a6_6b7d_b220_b81b_57362641b894_TB34225555_11
= 24(1-e^(-0.08t))

Taking the derivative with respect to t:

N'(t) = 24*0.08*e^(-0.08t)

Evaluating at t=50:

N'(50) = 24*0.08*e^(-0.08*50) = 0.12

Therefore, the rate of learning after 50 hours is 0.12 words per minute typed per hour of instruction and practice, which corresponds to answer choice B).

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