Final answer:
Car Rental Company A becomes more expensive than Company B for any number of miles greater than 104.76.
Step-by-step explanation:
To determine the number of miles for which Car Rental Company A is more expensive than Company B, we need to set up an equation and solve for x, where x represents the miles driven:
Cost of Company A: $35.00 + $0.12x
Cost of Company B: $12.99 + $0.33x
To find the number of miles, we need to find the point at which the cost of Company A is greater than the cost of Company B:
$35.00 + $0.12x > $12.99 + $0.33x
$0.21x > $22.01
x > $22.01 / $0.21
x > 104.76
Therefore, for any number of miles greater than 104.76, Company A is more expensive than Company B.