A map uses a scale of \(3~\text{centimeters}~\text{for}~\text{every}~24~\text{kilometers}\). \(\text{Two}~\text{cities}\) are \(8.5~\text{centimeters}\) apart on the map. Which complete response correctly evaluates the candidate equations for modeling the real distance \(d\)?
A. \(3/24~=~8.5/d\)
B. \(24/3~=~d/8.5\)
C. \(3/8.5~=~24/d\)
D. \(24/8.5~=~3/d\)
E. \(3/24~=~d/8.5\)
F. \(8.5/3~=~d/24\)
What this problem is really about
Start by locking in the two matched pairs: each map distance belongs with its real distance. A valid equation may compare map to real, real to map, original to new, or new to original, as long as that order stays consistent on both sides. After screening every candidate this way, solve one surviving proportion and check the distance against the map scale.