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.

Bytelearn · Accepted Answer

Interpreting Coefficient 130: We are given the equation C = 16,500 + 130m, where C represents the total cost in dollars and m represents the number of months the machine is used. To interpret the number 130 in this equation, we need to understand how it relates to the total cost and the number of months.Linear Equation Form: The equation is in the form of a linear equation, where 16,500 is the fixed cost (the cost to purchase the machine), and 130m represents the variable cost (the cost that changes with the number of months the machine is used). The number 130 is the coefficient of m, which means it is multiplied by the number of months to find the additional cost for each month of use.Options Analysis: To interpret the number 130, we look at the options given: (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.Option (A) Explanation: Option (A) states that the cost increases by 130 dollars for each additional month of use. This matches our understanding of the coefficient 130 in the equation, as it is the amount by which the total cost C increases for each month m.Option (B) Explanation: Option (B) is incorrect because the cost to purchase the machine and not use it is represented by the fixed cost of 16,500 dollars, not 130 dollars.Option (C) Explanation: Option (C) is incorrect because the equation does not specify a limit on the number of months the machine can be used. The number 130 is a rate of cost per month, not a limit on usage.Option (D) Explanation: Option (D) is incorrect because the average cost per month would depend on the total cost divided by the number of months, and the number 130 does not represent an average cost.

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