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
[tex]f(x)=3,500-225x[/tex]
where [tex]x[/tex] represents time in hours.
The function represents a straight line that has slope [tex]m=-225[/tex]
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 [tex]x=0[/tex] into the function.
[tex]f(0)=3,500-225(0)[/tex]
[tex]f(0)=3,500[/tex], hence the initial level is 3,500.
To determine the level of water in the pool after 14 hours, we put [tex]x=14[/tex] into the equation to get;
[tex]f(14)=3,500-225(14)[/tex]
[tex]f(14)=3,500-3150[/tex]
[tex]f(14)=350[/tex]
To determine the water level after 4 hours we put [tex]x=4[/tex]
[tex]f(4)=3,500-225(4)[/tex]
[tex]f(4)=3,500-900[/tex]
[tex]f(14)=2,600[/tex]
