Answer:
C) 3 hours 11 minutes
Step-by-step explanation:
We are given that Jill has a hot tub that holds 1,260 gallons of water.
Draining the hot tub is modeled by the equation :
\(y = \frac{-793}{2}x + 1,260\)
Now we are asked to find how long will it take to drain the hot tub
So, substitute y = 0 in equation :
\(0 = \frac{-793}{2}x + 1,260\)
\(0 =-396.5x + 1260\)
\(396.5x = 1260\)
\(x =\frac{1260}{396.5}\)
\(x =3.17780580076\)
So, it will take 3.17780580076 hours
Now 1 hour = 60 minutes
So, 0.17780580076 hours = \(0.17780580076 \times 60\)
= \(10.6683480456\) minutes
≈ 11 minutes
So, it will take 3 hours and 11 minutes
Hence it will take 3 hours and 11 minutes to drain the hot tub .
