The data entry speed (in entries per minute) of a data clerk trainee is S = 10

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The data entry speed (in entries per minute) of a data clerk trainee is

S = 10 √0.8x + 4, 0 ≤ x ≤ 100

where x is the number of hours of training he has had. What is the rate at which his speed is changing and what does this rate mean when he has had

(a) 15 hours of training?

(b) 40 hours of training?

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