SOLUTION: Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes (this means L(5)=15 for the function L(t) ) , the function L(t) = 500(1W
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-> SOLUTION: Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes (this means L(5)=15 for the function L(t) ) , the function L(t) = 500(1W
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Question 33657: Suppose that a student has 500 vocabulary words to learn. If the student learns 15 words after 5 minutes (this means L(5)=15 for the function L(t) ) , the function L(t) = 500(1− e−0.0061t ) approximates the number of words L that a student will learn after t minutes.
a) How many words will the student learn after 30 minutes?
b) How long will it take the student to learn 300 words? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! L(t)=500[1-e^(-0.006t)]
L(30)=500[1-e^(-0.006(30)]
=500[0.164729789)
=82 words
300=500[1-e^(-0.006t)
0.6=[1-e^(-0.006t)
e^(-0.006t)=0.4
Take the natural log of both sides to get:
-0.006t=ln0.4=0.91629...
t=152.72 minutes
Cheers,
Stan H.
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