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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 many words will the student learn after 60 minutes?

c) On a scratch sheet of paper or your graphing calculator, graph the function L(t) from 0 to 120 minutes. What can you say about the number of words a student will learn as the time increases?

d) How long will it take the student to learn 300 words?

d) Will the student learn all 500 words? Why or why not?

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