Question

The Gutierrez family and the Kim family both have pools. The Gutierrez family is filling their

pool, which is modeled by the equation =
1
2 + 1. The Kim family is draining their pool,
which is modeled by the equation = −1.25 + 5. In both equations, represents the time in
hours and represents the depth of the water in the pool in feet. These two situations can be
described by the following system of equations:

y = 1/2x + 1

y= -1.25x + 5

Answer 1

x = 2.285 hours

y = 2.1425 feet

Explanation:

Let us say that y represents the depth of the pool in feets and x represents the time in hours

The two set of equations are

y = 1/2x + 1

y= -1.25x + 5

Solving the above two equations we get

Subtracting eq (1) from eq (2), we get -

y-y = -1.25 x -0.5 x + 4

0 -1.75 x + 4

x = 4/1.75

x = 2.285 hours

y = 0.5 * 2.285 + 1

y = 2.1425 feet