The Gutierrez family and the Kim family both have pools. The Gutierrez family is filling their pool, which is modeled by the equation y = x+1. The Kim family is draining their pool,
which is modeled by the equation y = -1.25x + 5. In both equations, x represents the time in
hours and y represents the depth of the water in the pool in feet. These two situations can be
described by the following system of equations:
y
22+1
= -1.25x + 5
a) What is the rate of change for the Kim family's pool, and what does it represent in the
context of the problem?
b) Looking at the equation for the Gutierrez family's pool, what does the 1 represent in the
context of the problem?