Answer:
60 miles
Step-by-step explanation:
The basic equation is:
Fixed Cost + Variable Cost = Total Cost
The Fixed Cost = 315
The Variable Cost = 0.45x [where x is the number of miles]
The Total Cost = 342
Now, we write these in place of the original equation and get our mathematical equation to solve for x:
[tex]315+0.45x=342[/tex]
Now, we simply solve for x:
[tex]315+0.45x=342\\0.45x = 342 - 315\\0.45x = 27\\x=\frac{27}{0.45}\\x=60[/tex]
The trip was 60 miles