Question

a rental company charges $25 per day to rent a car as well as $25 fee plus a 42.50 per day to rent a car car rental company B charges a $40 fee plus $37.50 per day to rent a car for how many days will the cost of a rental car be the same

Answer 1

To find the number of days where two car rental companies charge the same amount, we set up an equation based on their respective fees and per day charges. After solving the equation, we find that the costs will be the same after 3 days of rental.

Step-by-step explanation:

The question is asking to determine the number of days where the cost of renting a car from two different companies would be the same. We can solve this by setting up an equation where the total cost from company A equals the total cost from company B.

Company A Cost

Total Cost for Company A = $25 fee + $42.50 per day * number of days
So, Cost A = 25 + 42.5d

Company B Cost

Total Cost for Company B = $40 fee + $37.50 per day * number of days
So, Cost B = 40 + 37.5d

Equating Both Costs

To find the number of days when both costs are the same, set Cost A = Cost B:
(25 + 42.5d) = (40 + 37.5d)

We then solve for d (number of days):
42.5d - 37.5d = 40 - 25
5d = 15
d = 3

Therefore, the costs will be the same after 3 days.