Question

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 ?

Answer 1

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 2

After
`(150)/(g) minutes` the tank will have 450 gallons of water.

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

`W = 300 + g* n`

Given, W = 450 at n =?

`450 = 300 + g* n`

`450-300= g* n`

`n = (150)/(g)`

After
`(150)/(g) minutes` the tank will have 450 gallons of water.