a partially-filled water tank contains 300 gallons of water. Water is the pumped into the rank at a constant rate. after n minutes, the amount of water, W, in the tabk is W = 300+gngallons. After how many minutes will W = 450gallons ?

Respuesta :

to start you need to find the difference of how much it has increased which is 150 and then from the question we can gather that the tank fills and about 1 gallon per minute so then we divide the number we got before by the rate so that should 150 minutes in order to get 450 gallons

Answer:

After [tex]\frac{150}{g} minutes[/tex] the tank will have 450 gallons of water.

Step-by-step explanation:

Volume of water in tank = 300 gal

Rate at which water was pumped in tank = g

The function representing amount of water after n minutes:W

[tex]W = 300 + g\times n[/tex]

Given, W = 450 at n =?

[tex]450 = 300 + g\times n[/tex]

[tex]450-300= g\times n[/tex]

[tex]n = \frac{150}{g}[/tex]

After [tex]\frac{150}{g} minutes[/tex] the tank will have 450 gallons of water.