You plan to take out a 30-year fixed rate mortgage for $125,000. Let P(r) be your monthly payment if the interest rate is r% per year, compounded monthly. Interpret the equations

(a)P(7)=831.63and (b) P'(7 ) =83.95.

(a) Interpret P(7)equals831.63. Select the correct answer below

A.If the interest rate on the mortgage is 8%, the monthly payment will be $831.63.

B.If the interest rate on the mortgage is 7%, the monthly payment will be $83.95.

C.If the interest rate on the mortgage is 8%, the monthly payment will be $83.95.

D.If the interest rate on the mortgage is 7%, the monthly payment will be $831.63.

(b) InterpretP'(7) =83.95.

Select the correct answer below.

A.If the interest rate increases from 7% to 8%, the monthly payment will decrease by approximately $83.95

B. If the interest rate decreases from 8% to 7%, the monthly payment will be approximately $831.63

C.If the interest rate increases from 7% to 8%, the monthly payment will increase by approximately $83.95

D.If the interest rate decreases from 8% to 7%, the monthly payment will increase by approximately $831.63.