When a homeowner has a $25-$year variable$-$rate mortgage loan, the monthly payment R is a function of the amount of the loan A and the current interest rate i $($as a percent$)$; that is$,$

R $=$ f$($A$,$ i$).$

Interpret each of the following.

$($a$)$

f$(190,000,7)=771\mathrm{.}88$

For a loan of $$190,000$ at $7\mathrm{.}7188\%$ interest, $700$ monthly payments would be required to pay off the loan.For a loan of $$190,000$ at $7\%$ interest, $771\mathrm{.}88$ monthly payments would be required to pay off the loan.$$ For a loan of $$190,000$ at $7\%$ interest, the monthly payment is $$771\mathrm{.}88.$For a loan of $$190,000$ at $7\mathrm{.}7188\%$ interest, the monthly payment is $$700.$