0.25x + 37.68 = C
[The company charges $0.25 per mile (x) plus $37.68, and C is the total amount of money/cost]
Vanessa has $120 [total amount of money she is given per day],
Since this is the total amount of money she has/can pay with, you can plug in 120 for C
0.25x + 37.68 = 120 Subtract 37.68 on both sides
0.25x = 82.32 Divide 0.25 on both sides
x = 329.28
Vanessa can travel 329.28 miles on the $120