Learning Theory In a typing class, the average number N of words per minute typed after t weeks of lessons can be modeled by N = 95 / ( 1 + 8.5 e − 0.12 t ) . (a) Find the average number of words per minute typed after 10 weeks. (b) Find the average number of words per minute typed after 20 weeks. (c) Use a graphing utility to graph the model. Find the number of weeks required to achieve an average of 70 words per minute. (d) Does the number of words per minute have a limit as t increases without bound? Explain your reasoning.
Learning Theory In a typing class, the average number N of words per minute typed after t weeks of lessons can be modeled by N = 95 / ( 1 + 8.5 e − 0.12 t ) . (a) Find the average number of words per minute typed after 10 weeks. (b) Find the average number of words per minute typed after 20 weeks. (c) Use a graphing utility to graph the model. Find the number of weeks required to achieve an average of 70 words per minute. (d) Does the number of words per minute have a limit as t increases without bound? Explain your reasoning.
Solution Summary: The author calculates the average number of words per minute typed after 10 weeks by substituting t=10 in the above function.
Learning Theory In a typing class, the average number N of words per minute typed after t weeks of lessons can be modeled by
N
=
95
/
(
1
+
8.5
e
−
0.12
t
)
.
(a) Find the average number of words per minute typed after 10 weeks.
(b) Find the average number of words per minute typed after 20 weeks.
(c) Use a graphing utility to graph the model. Find the number of weeks required to achieve an average of 70 words per minute.
(d) Does the number of words per minute have a limit as t increases without bound? Explain your reasoning.
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