a truck can be rented from company A for $100 a day plus $0.60 per mile and company B charges $50 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and B are the same.
that will of course be x miles where
100+.60x = 50+.80x
Yes but I need the answer in miles
200
To find the number of miles in a day at which the rental costs for company A and B are the same, we need to set the total cost for both companies to be equal and solve for the number of miles.
Let's denote the number of miles as "x".
For company A, the total cost can be calculated by adding the base daily rate and the cost per mile:
Total cost for company A = $100 (base daily rate) + $0.60 (cost per mile) * x (number of miles)
For company B, the total cost can be calculated in a similar way:
Total cost for company B = $50 (base daily rate) + $0.80 (cost per mile) * x (number of miles)
Now, let's set the two total costs equal to each other and solve for the number of miles:
$100 + $0.60x = $50 + $0.80x
Simplifying the equation:
$0.60x - $0.80x = $50 - $100
-$0.20x = -$50
Dividing both sides of the equation by -$0.20:
x = -$50 / -$0.20
x = 250
Therefore, the rental costs for company A and B are the same when the number of miles in a day is 250 miles.