Final answer:
To find the number of miles at which the rental costs for Company A and Company B are the same, set up an equation based on the given information and solve for x. At 100 miles in a day, the rental costs for Company A and Company B will be the same.
Step-by-step explanation:
To find the number of miles at which the rental costs for Company A and Company B are the same, we can set up an equation based on the given information.
Let x be the number of miles traveled in a day. The rental cost for Company A is $40 plus $0.25 per mile, so the cost for Company A can be represented as 40 + 0.25x. The rental cost for Company B is $30 plus $0.35 per mile, so the cost for Company B can be represented as 30 + 0.35x.
To find the number of miles at which the rental costs are the same, we can set up the equation 40 + 0.25x = 30 + 0.35x. Solving this equation will give us the answer.
40 + 0.25x = 30 + 0.35x
0.1x = 10
x = 100
Therefore, at 100 miles in a day, the rental costs for Company A and Company B will be the same, which is not one of the options provided in the question.