SOLUTION: You and your friends are planning a canoe trip to Algonquin Park. You have to decide which rental company to rent a canoe with based on the equations given below where Cost is rep

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Question 1179827: You and your friends are planning a canoe trip to Algonquin Park. You have to decide which rental company to rent a canoe with based on the equations given below where Cost is represented by C and d represents the number of days;
C = 18d + 3 (True North company)
C= 18d + 2 (Portage Company)
After how many days will the rental cost be the same for both companies? Explain.

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Set them equal
so 18d+3=18d+2
they will never be equal. That may be the point of the problem, or there may have been an error in writing the problem. I canoed there nearly 60 years ago. Nice place. The picture I use was taken at Source Lake there.

Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.

To make a selection,  it is not necessary to have two cost functions equal at some day.

From the given formulas,  it is clear that the Portage company is  ALWAYS  CHEAPER  than the  True  North company.

So,  you,  probably,  will select . . .  WHAT ?