Question

After t months on the job, a postal clerk can sort Q(t)=700−410 e−0.5t letters per hour. What is the average rate at which he clerk sorts mail during the first 4 months on the job?

Answer 1

Answer: 645 letters per hour

Step-by-step explanation:

Given : After t months on the job, a postal clerk can sort $Q(t)=700-410 e^{-0.5t}$ letters per hour.

Then the average rate at which he clerk sorts mail during the first 4 months on the job, we put t= 4 , we get

$Q(t)=700-410 e^{-0.5\times4}\\\\\Rightarrow] Q(t)=700-410e^{-2}\\\\\Rightharrow700-55.487466127=644.512533873\approx645$

Hence, the average rate at which he clerk sorts mail during the first 4 months on the job = 645 letters per hour