The monthly payment for a home loan is given by a function f(P,r, N) where P is the principal (the initial size of the loan), r the interest rate, and N the length of the loan in months. Interest rates are expressed as a decimal: A % interest rate is denoted by r = 0.085. If P = 100000, r = 0.085, and N = 336(a 28-year loan), then the monthly payment is f(100000, 0.085, 336) = 1483. Furthermore, with these values we have af ӘР = 0.0089, af Ər = 7380, af ON = -1.6424 Estimate: (a) The change in monthly payment per 500 increase in loan principal: Af~ dollars (b) The change in monthly payment if the interest rate changes from r = 0.085 to r = 0.1: Af≈ dollars (c) The change in monthly payment if the length of the loan changes from 28 to 27 years: Af~ dollars

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