P=67,000+2,820 m The total payments, P, in dollars, made by a homeowner m months after starting payments on a home mortgage is given by the equation. What is the best interpretation of 67,000 as shown in the given equation? Choose 1 answer: (A) The first payment was 67,000 dollars. (B) The homeowner pays 67,000 dollars each month. (C) The homeowner paid 67,000 dollars at the end of the first month. (D) The total of all payments made by the homeowner is 67,000 dollars.

Question

P=67,000+2,820 m The total payments,  P, in dollars, made by a homeowner  m months after starting payments on a home mortgage is given by the equation. What is the best interpretation of 67,000 as shown in the given equation? Choose 1 answer: (A) The first payment was 67,000 dollars. (B) The homeowner pays 67,000 dollars each month. (C) The homeowner paid 67,000 dollars at the end of the first month. (D) The total of all payments made by the homeowner is 67,000 dollars.

Bytelearn · Accepted Answer

Analyze Equation Components: Analyze the given equation P = 67,000 + 2,820m to understand its components. The equation represents the total payments P made by a homeowner, where m is the number of months after starting payments on a home mortgage.Identify Constant Term: Identify the constant term in the equation. The constant term in the equation is 67,000. This term is independent of the variable m, which represents the number of months.Interpret Constant Term: Interpret the constant term in the context of the problem. Since the constant term is not multiplied by the variable m, it does not represent a recurring payment. It is a one-time payment made at the start of the mortgage payments.Evaluate Answer Choices: Evaluate the answer choices in relation to the constant term. (A) The first payment was 67,000 dollars. This choice suggests that 67,000 is a one-time payment, which aligns with the interpretation of the constant term. (B) The homeowner pays 67,000 dollars each month. This choice is incorrect because the monthly payment is represented by the term 2,820m, not the constant term. (C) The homeowner paid 67,000 dollars at the end of the first month. This choice is incorrect because the constant term represents a payment at the start, not at the end of the first month. (D) The total of all payments made by the homeowner is 67,000 dollars. This choice is incorrect because the constant term is just a part of the total payments, which increase with each month.Choose Correct Interpretation: Choose the correct interpretation based on the analysis. The correct interpretation of the constant term 67,000 in the given equation is that it represents the initial payment made at the start of the mortgage payments.

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