A truck can be rented from Company A for $80 a day plus $0.30 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same
Let the number of miles in a day be represented by 'm'.
For Company A, the rental cost for a day is $80 + $0.30m.
For Company B, the rental cost for a day is $50 + $0.60m.
To find the number of miles in a day at which the rental costs for both companies are the same, we need to set the two expressions equal to each other and solve for 'm':
$80 + $0.30m = $50 + $0.60m
Subtracting $0.30m from both sides, we get:
$80 = $50 + $0.30m + $0.30m
Combining like terms, we have:
$80 = $50 + $0.60m
Subtracting $50 from both sides, we get:
$30 = $0.60m
Dividing both sides by $0.60, we find:
m = $30/$0.60
m = <<30/0.6=50>>50
Therefore, the rental costs for Company A and Company B are the same when the number of miles in a day is 50.