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

User Icon for Brady Brady answered
10 years ago

Please see the first Related Question below.

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 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.