Question

Student borrowed $3,500 At 0 interest. The student agreed to repay the same amount each month.The function shown Models the relationship between the number of monthly payments ,x,and The remaining balance of the loan in dollars, f(x) f(x) = 3,500-500x What is the domain of the function for this situation

Answer 1

x represents whole monthly payments, and the balance can't be negative. Since 3500/500 = 7, after 7 payments the loan is paid off.

If x must be an integer (number of months): domain = {0,1,2,3,4,5,6,7}.
If x is allowed to be any real number (continuous time): domain = [0,7].