Question #268956

3. The tank has 700 liters oil and is being drainad ar a constart rate of 25 liters per minute.




a) How do you write a linear function V for the number of liten in the tank after t minutes




Tassuming that the drainage started art-012




bi Compute how many litera are in the tank after 75 minutes and 55 seconds.


1
Expert's answer
2021-11-22T13:27:55-0500

a)


V(t)=70025tV(t)=700-25t

b)


75 min 55sec=(75+5560)min=91112 min75\ min\ 55 sec=(75+\dfrac{55}{60})min=\dfrac{911}{12}\ min

V(t)=70025(91112)<0V(t)=700-25(\dfrac{911}{12})<0

We cannot consider the time 75min 55 sec.

How long will it take for the tank to be drained empty?


V=70025t=0V=700-25t=0

t=70025t=\dfrac{700}{25}

t=28 mint=28\ min


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