According to my calculations, after 200 miles, the prices will be equal.
        
             
        
        
        
I think the answer is 
42.5 
not sure but hope this helps
        
                    
             
        
        
        
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0   or   1 - 3 cos(2x) = 0
sin(2x) = 0   or   cos(2x) = 1/3
[2x = arcsin(0) + 2nπ   or   2x = π - arcsin(0) + 2nπ]
… … …   or   [2x = arccos(1/3) + 2nπ   or   2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ   or   2x = π + 2nπ]
… … …   or   [2x = arccos(1/3) + 2nπ   or   2x = -arccos(1/3) + 2nπ]
[x = nπ   or   x = π/2 + nπ]
… … …   or   [x = 1/2 arccos(1/3) + nπ   or   x = -1/2 arccos(1/3) + nπ]
 
        
             
        
        
        
Answer:
c. 6x + 15 = 39
Step-by-step explanation:
hope this helps