BeautyQueen97
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Jill has a hot tub that holds 1,260 gallons of water. She needs to drain the hot tub, so that it can be moved to a new location in her backyard. If draining the hot tub is modeled by the equation y = -793/2 x + 1,260, how long will it take to drain the hot tub?

A) 2 hours 48 minutes
B) 2 hours 59 minutes
C) 3 hours 11 minutes
D) 3 hours 22 minutes

Respuesta :

SirHao
B just guess i think it is B

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 :

[tex]y = \frac{-793}{2}x + 1,260[/tex]

Now we are asked to find how long will it take to drain the hot tub

So, substitute y = 0 in equation :

[tex]0 = \frac{-793}{2}x + 1,260[/tex]

[tex]0 =-396.5x + 1260[/tex]

[tex]396.5x = 1260[/tex]

[tex]x =\frac{1260}{396.5}[/tex]

[tex]x =3.17780580076[/tex]

So, it will take 3.17780580076 hours

Now 1 hour = 60 minutes

So, 0.17780580076 hours = [tex]0.17780580076 \times 60[/tex]

                                            = [tex]10.6683480456[/tex] 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 .

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