Question

Fernando borrowed money from the bank to buy a used car. The total amount owed is 7,200. Fernando will make 36 monthly payments of200 in order to pay off the loan. The function a(m) represents the amount Fernando still owes, in dollars, after making m payments. What is the range of a(m)?

Answer 1

The range of the function a(m), representing the amount Fernando still owes after making m payments, is given by the expression a(m) = 7,200 - 200m. The range of values for a(m) spans from $7,200 to $0 as Fernando makes more payments.

Step-by-step explanation:

The range of the function a(m) represents the amount Fernando still owes, in dollars, after making m payments. In this case, Fernando borrowed $7,200 and will make 36 monthly payments of $200. We can determine the amount Fernando still owes after making m payments by subtracting the total payments made from the total amount owed.

Therefore, the range of the function a(m) is given by:

a(m) = 7,200 - 200m

where m represents the number of payments made. So, as Fernando makes more payments, the amount he still owes decreases, resulting in a range of values from $7,200 to $0.