Answer:
Equation in standard form to model the linear situation is :
1750x + y = 16000
Step-by-step explanation:
Volume of water in container = 16,000 gal
Volume of water in container after 2 hours = 12,500 gal
Consider time when container was filled with 16,000 gallons of water be 0 hour.
T(Hour) Volume of water left
0 16,000 gal
2 12,500 gal
[tex](x_1,y_1)=(0, 16000)[/tex]
[tex](x_2,y_2)=(2, 12500)[/tex]
Now , we have two coordinates , from which we can easily determine the equation of this situation:
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}\times (x-x_1)[/tex]
[tex](y-16000)=\frac{12500-16000}{2-0}\times (x-0)[/tex]
[tex]y-16000=(-1750)\times (x)[/tex]
[tex]y-16000=-1750x[/tex]
Equation in standard form to model the linear situation is : (Ax+By=C)
[tex]1750x+y=16000[/tex]
