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. Your equation should be the Cost for Company A = Cost of Company B
Let's assume that the number of miles in a day at which the rental costs for Company A and Company B are the same is represented by 'x'.
Cost for Company A = $80 + $0.30x
Cost for Company B = $50 + $0.60x
Setting these two costs equal to each other, we can create the equation:
$80 + $0.30x = $50 + $0.60x
To solve for 'x', we can start by subtracting $50 from both sides of the equation:
$80 - $50 + $0.30x = $50 - $50 + $0.60x
$30 + $0.30x = $0.60x
Next, we want to isolate 'x' on one side of the equation. We can achieve this by subtracting $0.30x from both sides:
$30 + $0.30x - $0.30x = $0.60x - $0.30x
$30 = $0.30x
Now, we can divide both sides of the equation by $0.30 to solve for 'x':
$30/$0.30 = $0.30x/$0.30
100 = x
Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same is 100 miles.