The equation of the given situation and the time taken to fill the swimming pool is required.
The required equation is \(y=2x+15\)
The number of minutes required to fill the tank will be 45.5 minutes.
\(y\) is the amount of water (gallons) in the pool after \(x\) minutes
Rate of filling is 2 gallons per minute.
The pool is already filled by 15 gallons
\(y=2x+15\)
Now, the capacity of the pool is 106 gallons.
So, \(y=106\)
\(106=2x+15\\\Rightarrow x=\dfrac{106-15}{2}\\\Rightarrow x=45.5\ \text{minutes}\)
The number of minutes required to fill the tank will be 45.5 minutes.
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