Answer:
The water level is falling.
The initial level of water in the pool was 3,500 units
The water was 2,600 units high after 4 hours.
Step-by-step explanation:
The given function that models the water level is
![f(x)=3,500-225x](https://tex.z-dn.net/?f=f%28x%29%3D3%2C500-225x)
where
represents time in hours.
The function represents a straight line that has slope ![m=-225](https://tex.z-dn.net/?f=m%3D-225)
Since the slope is negative, it means the water level is falling.
The initial level of water in the pool can found when we put
into the function.
![f(0)=3,500-225(0)](https://tex.z-dn.net/?f=f%280%29%3D3%2C500-225%280%29)
, hence the initial level is 3,500.
To determine the level of water in the pool after 14 hours, we put
into the equation to get;
![f(14)=3,500-225(14)](https://tex.z-dn.net/?f=f%2814%29%3D3%2C500-225%2814%29)
![f(14)=3,500-3150](https://tex.z-dn.net/?f=f%2814%29%3D3%2C500-3150)
![f(14)=350](https://tex.z-dn.net/?f=f%2814%29%3D350)
To determine the water level after 4 hours we put ![x=4](https://tex.z-dn.net/?f=x%3D4)
![f(4)=3,500-225(4)](https://tex.z-dn.net/?f=f%284%29%3D3%2C500-225%284%29)
![f(4)=3,500-900](https://tex.z-dn.net/?f=f%284%29%3D3%2C500-900)
![f(14)=2,600](https://tex.z-dn.net/?f=f%2814%29%3D2%2C600)