The function C gives the costs (in dollars) of producing x liters of a certain sauce. What is the best interpretation for the following statement? The slope of the line tangent to the graph of C at x=12 is equal to 4 . Choose 1 answer: (A) At the time when 12 liters of sauce are produced, the costs increase by 4 dollars. B When the amount of sauce produced is 12 liters, the costs increase at a rate of 4 dollars per liter. (C) The costs of producing the sauce increase at a rate of 4 dollars per 12 liters. D It costs 4 dollars to produce 12 liters of the sauce.

Question

The function  C gives the costs (in dollars) of producing  x liters of a certain sauce. What is the best interpretation for the following statement? The slope of the line tangent to the graph of  C at  x=12 is equal to 4 . Choose 1 answer: (A) At the time when 12 liters of sauce are produced, the costs increase by 4 dollars. B When the amount of sauce produced is  12 liters, the costs increase at a rate of 4 dollars per liter. (C) The costs of producing the sauce increase at a rate of 4 dollars per 12 liters. D It costs 4 dollars to produce 12 liters of the sauce.

Bytelearn · Accepted Answer

Function Tangent Line: The slope of a tangent line to a function at a given point represents the rate of change of the function's output with respect to its input at that point.Costs and Liters: Since C represents the costs in dollars and x represents the liters of sauce, a slope of 4 at x=12 means that for each additional liter of sauce produced, the costs increase by 4 dollars.Interpretation of Statement: Therefore, the correct interpretation of the statement is that when the amount of sauce produced is 12 liters, the costs increase at a rate of 4 dollars per liter.

Full solution

More problems from Interpreting Linear Expressions

Related topics