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Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. For how many minutes has the water been draining when Tank B contains x liters of water (answer as an expression)?

Respuesta :

x=water in the tank in liters

t=time in minutes

start by writing the expression of the draining in the tank

[tex]x=80-2.5t[/tex]

being 80 the initial value and 2.5 the rate at which is draining

to see how many minutes the tank has been draining when containing x liters clear the equation for t

[tex]\begin{gathered} x=80-2.5t \\ x-80=-2.5t \\ 2.5t=80-x \\ t=\frac{80-x}{2.5} \\ t=\frac{80}{2.5}-\frac{x}{2.5} \\ t=32-\frac{x}{2.5} \end{gathered}[/tex]

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