jenny is going to rent a truck for one day. there are two.companies she can choose from and they have the following prices. company a has no inital fee and char

Question

jenny is going to rent a truck for one day. there are two.companies she can choose from and they have the following prices. company a has no inital fee and charges 90 cents for every mile driven. company b charges an inital fee for every mile driven. for what milages will company a charge more then company b. use m for the number of miles driven and solve your inequality for m

Answer 1

So, the first step to answering this problem is to develop two expressions for the two companies. 

 

Let:

Ca = cost of Company A rental

Cb = cost of Company B rental

CiA = initial fee of Company A

CpmA = cost per mile of Company A

CiB = initial fee of Company B

CpmB = cost per mile of Company B

m = distance traveled

 

Company A: 

 

Ca = CiA + CpmA * m = 0 + .9 * m = .9 * m

 

Company B: 

 

Cb = CiB + CpmB * m = 

(problem statement didn't show me what this numbers were)

 

Now, we answer the question. When will Company A be greater than company B? Aka

 

Ca > Cb -> .9 * m = 

 

Solve for m. (I would show the next steps but your problem statement didn't have the numbers for Company B).