A. The amount of water in a tank t minutes after it has started to drain is given by = 100( − 15) 2 . I. At what rate is the wat
er running out at the end of 5 minutes? Ii. What is the average rate at which the water flows out during the first 5 minutes?
1 answer:
Answer:
a)-2000
b)-2500
Step-by-step explanation:
Given:
W(t) = 100(t-15)²
applying derivation on both sides
W'(t) = 200(t-15)
->a) At what rate is the water running out at the end of 5 minutes?
Evaluating at t=5
W'(5)= 100(5-15) =>200(-10)
W'(5)=-2000
->b) What is the average rate at which the water flows out during the first 5 minutes?
![\frac{W(5)-W(0)}{5-0} =\frac{100(5-15)^2*100(0-15)^2}{5} =>\frac{10000-22500}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BW%285%29-W%280%29%7D%7B5-0%7D%20%3D%5Cfrac%7B100%285-15%29%5E2%2A100%280-15%29%5E2%7D%7B5%7D%20%3D%3E%5Cfrac%7B10000-22500%7D%7B5%7D)
=>-2500
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