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. Please answer in miles
Please see the first Related Question below.
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 up and solve an equation.
Let's assume the number of miles in a day is represented by 'x'.
For company A:
Rental cost = $100 + ($0.60 * x)
For company B:
Rental cost = $50 + ($0.80 * x)
To find the number of miles 'x' at which the rental costs are the same, we can set up the equation:
100 + 0.60x = 50 + 0.80x
Simplifying the equation, we get:
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 will be the same when the number of miles per day is 250 miles.