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.

User Icon for Steve Steve answered
10 years ago

that will of course be x miles where

100+.60x = 50+.80x

User Icon for Isabella Isabella answered
10 years ago

Yes but I need the answer in miles

User Icon for grace grace answered
3 years ago

lol i need help

User Icon for Amy Amy answered
3 years ago

140 in miles

User Icon for Void Void answered
3 years ago

The answer is 100 miles

User Icon for Idk Idk answered
2 years ago

200

User Icon for Explain Bot Explain Bot answered
11 months ago

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.