C=16,500+130 m The total cost, C, in dollars, to purchase a planchet machine and use it for m months is given by the equation. What is the best interpretation of 130 as shown in the given equation? Choose 1 answer: A The cost increases by 130 dollars for each additional month of use. B The cost to purchase the machine and not use it is 130 dollars. (C) After purchase, the machine can be used for up to 130 months. (D) The average cost per month to purchase and use the machine is 130 dollars.

Question

C=16,500+130 m The total cost,  C, in dollars, to purchase a planchet machine and use it for  m months is given by the equation. What is the best interpretation of 130 as shown in the given equation? Choose 1 answer: A The cost increases by 130 dollars for each additional month of use. B The cost to purchase the machine and not use it is 130 dollars. (C) After purchase, the machine can be used for up to 130 months. (D) The average cost per month to purchase and use the machine is 130 dollars.

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Question Prompt: The question_prompt for the new math problem is: ＂What does the number 130 represent in the cost equation C = 16,500 + 130m for a planchet machine?＂Analysis of Equation: Let's analyze the given equation C = 16,500 + 130m. This equation represents a linear relationship between the total cost C and the number of months m the machine is used.Constant Term: The term 16,500 is a constant, which means it's the initial cost of purchasing the machine. This cost does not change with the number of months m.Coefficient Term: The term 130m suggests that for each month the machine is used, the total cost C increases by 130 dollars. This is because m represents the number of months, and 130 is the coefficient of m.Interpretation of 130: Now, let's interpret the meaning of 130 in the context of the given answer choices: A) If the cost increases by 130 dollars for each additional month of use, this would mean that 130 is the cost per month of using the machine, which aligns with the term 130m in the equation. B) If the cost to purchase the machine and not use it is 130 dollars, this would not make sense because the initial cost is given as 16,500 dollars. C) If after purchase, the machine can be used for up to 130 months, this would not be correct because the equation does not limit the number of months to 130; it simply states that each month adds to the cost. D) If the average cost per month to purchase and use the machine is 130 dollars, this would not be correct because 130 is not an average cost but an additional cost per month.Best Interpretation: Based on the analysis, the best interpretation of 130 in the given equation is that the cost increases by 130 dollars for each additional month of use. Therefore, the correct answer is: A) The cost increases by 130 dollars for each additional month of use.

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