One car model costs $12,000 & costs and average of $.10 to maintain. Another car model costs $14,000 & costs ab average of $.08 to maintain. If each model is driven the same # of miles, after how many miles would the total cost be the same?
See a solution process below:
Let's call the number of miles driven we are looking for
The the total cost of ownership for the first car model is:
The the total cost of ownership for the second car model is:
We can equate these two expressions and solve for
Next, we can subtract
Now, we can divide each side of the equation by
After 100,000 miles the total cost of ownership of the two cars would be the same.