Let \( x \) represent the number of miles driven.
For the regular car:
The total charge is \( 240 + 0.25x \).
For the minivan:
The total charge is \( 180 + 0.40x \).
To determine when the charges are equal, set the two expressions equal to each other:
\[ 240 + 0.25x = 180 + 0.40x \]
Solving for \( x \) involves subtracting 180 from both sides:
\[ 60 + 0.25x = 0.40x \]
Subtracting \( 0.25x \) from both sides yields:
\[ 60 = 0.15x \]
Divide by 0.15 to find the value of \( x \), representing the mileage at which the total charges for both vehicles are equivalent.
