Answer:
The linear function is equal to [tex]f(x)=-25x+850[/tex]
Step-by-step explanation:
Let
y -----> the number of tickets remaining at a given time
x -----> the time in days
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope and b is the y-intercept (original number of tickets)
In this problem we have
[tex]m=-25\frac{tickets}{day}[/tex] ----> is negative because is decreasing
[tex]b=850\ tickets[/tex]
substitute
[tex]y=-25x+850[/tex]
Convert to function notation
[tex]f(x)=-25x+850[/tex]
