Set 3: Polynomial Functions (Advanced)

Choice B is correct. It’s given that the function g models the number of gallons that remain from a full gas tank in a car after driving m miles. In the given function g (m) = -0.05 m +12.1, the coefficient of m is -0.05. This means that for every increase in the value of m by 1, the value of g (m) decreases by 0.05 . It follows that for each mile driven, there is a decrease of 0.05 gallons of gasoline. Therefore, 0.05 gallons of gasoline are used to drive each mile. Choice A is incorrect and represents the number of gallons of gasoline in a full gas tank. Choice D is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors.