The table below shows function d, which represents the distance of a car from its destination after driving for n hours.

which function represents this situation?

d(n) = -60n + 690

d(n) = 65n - 690

d(n) = -65n + 690

d(n) = -690n + 65

For this case, the first thing you should observe is that we have a linear equation.
 The generic equation of the line in this case is:
 d (n) - d (n0) = m (n-n0)
 We look for the slope:
 m = (d (n2) - d (n1)) / (n2-n1)
 m = (560 - 690) / (2-0)
 m = -65
 Then, we choose any ordered pair:
 (n0, d (n0)) = (0, 690)
 We substitute the values in the generic equation:
 d (n) - 690 = -65 (n-0)
 We rewrite:
 d (n) = -65n +690
 
 A function that represents this situation is:
 d (n) = -65n +690
 (option 3)