95.8k views
3 votes
A family wants to rent a car to go on vacation. Company A charges $30.50 and 9 cents per mile. Company B charges $70.50 and 14 cents per mile. How much more does Company B charge for x miles than company A?

For x miles, Company B charges __ dollars more than company A.

User Calum You
by
4.2k points

1 Answer

0 votes

Final answer:

For x miles, Company B charges $40 + 0.05x dollars more than Company A.

Step-by-step explanation:

In order to find out how much more Company B charges for x miles than Company A, we need to calculate the total cost for each company and then find the difference between them.

For Company A, the total cost is $30.50 + ($0.09 * x) = $30.50 + 0.09x dollars.

For Company B, the total cost is $70.50 + ($0.14 * x) = $70.50 + 0.14x dollars.

To find the difference, we subtract the total cost for Company A from the total cost for Company B:

(70.50 + 0.14x) - (30.50 + 0.09x)

= $40 + 0.05x dollars.

Therefore, for x miles, Company B charges $40 + 0.05x dollars more than Company A.

User Paul Lefebvre
by
5.7k points