breannacoulter9
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the capacity of a small childrens swimming pool is 106 gallons of water. there are currently 15 gallons of water in the pool. You are filling the pool with water at a rate of 2 gallons per minute.

a. Write an equation that give the amount y(in gallon) of water in the pool as a function of the number x of minutes from now.
b. After how many minutes will the pool be fill.

Respuesta :

y=2x+15
106=2x+15
2x=91
x=45.5
45.5 minutes

boffeemadrid

The equation of the given situation and the time taken to fill the swimming pool is required.

The required equation is [tex]y=2x+15[/tex]

The number of minutes required to fill the tank will be 45.5 minutes.

[tex]y[/tex] is the amount of water (gallons) in the pool after [tex]x[/tex] minutes

Rate of filling is 2 gallons per minute.

The pool is already filled by 15 gallons

[tex]y=2x+15[/tex]

Now, the capacity of the pool is 106 gallons.

So, [tex]y=106[/tex]

[tex]106=2x+15\\\Rightarrow x=\dfrac{106-15}{2}\\\Rightarrow x=45.5\ \text{minutes}[/tex]

The number of minutes required to fill the tank will be 45.5 minutes.

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