Atruck can be rented from company a for $120 a day plus $0.40 per mile. company b charges $70 a day plus $0.50 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

The answer is 500 miles.

So how you go about this problem is to first write an equation for how much each company will cost.
For Company A, it costs $120 plus some more.
The some more part can just be written as .4x where x is the number of miles
(2 miles = .4+.4 = .4(2) =.8)
So for if the cost for Company A is "A"


Do the same thing for Company B but with the different numbers


Find the number of miles in a day at which the rental costs for Company A and Company B are the same
"The same" here means equal so set the two equations equal to each other (that means the cost of Company A=the cost of Company B or A=B)




Now use algebra to solve for x






The answer is 500 miles.