Interest rates on loans are determined by
a. your credit profile
b. credit bureaus
c. whatever the lender wants to charge
d. the amount owed at various times

A but read the answers carefully.

Step-by-step explanation:

The question is "Who are you getting the loan from?"

If it is  a payday loan company, it can vary quite a bit and they usually can justify their usury.

If it is from a bank, they have a rigid set of standards. If you can jump through the hoops, the rate will be fixed, but only if you qualify.

Credit bureaus keep track of how well you pay your debts. A good score will influence low rate lenders, but it is not the only factor.

D would seem to be correct and there is such a thing as a sliding interest rate, but I don't think that's the answer.

It's not C. And it's not D. So your choice is between A and B. They are so close.

I'm going to choose A, but do not be surprised if it is B

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.