Question

Enter an equation in standard form to model the linear situation. A pool that is being drained contained 16,000 gallons of water. After 2 hours, 12,500 gallons of water remain.

Answer 1

Equation in standard form to model the linear situation is :

1750x + y = 16000

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

`(x_1,y_1)=(0, 16000)`

`(x_2,y_2)=(2, 12500)`

Now , we have two coordinates , from which we can easily determine the equation of this situation:

`(y-y_1)=(y_2-y_1)/(x_2-x_1)* (x-x_1)`

`(y-16000)=(12500-16000)/(2-0)* (x-0)`

`y-16000=(-1750)* (x)`

`y-16000=-1750x`

Equation in standard form to model the linear situation is : (Ax+By=C)

`1750x+y=16000`