Write a linear equation representing this situation. Let C be the total charge for the car rental. Then C = $100 + ($5/10 miles)x, where x represents the total number of miles driven.
C = $200 = $100 + ($0.50/mile)x
Simplifying, $100 = ($0.50/mile)x
Divide both sides by ($0.50/mile): [$100] / [$0.50/mile] = x
Solving for x: x = 200 miles