Set 1: Polynomial Functions (Intermediate)
Explanation
g (m) = −0.05m + 12.1 The given function g models the number of gallons of gasoline that remains from a full gas tank in a car after driving m miles. According to the model, about how many gallons of gasoline are used to drive each mile?
Choose the correct answer.
20
242.0
0.05
12.1
Detailed Explanation
Choice C 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 D is incorrect and represents the number of gallons of gasoline in a full gas tank. Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors.
Key Steps:
The correct answer is 0.05
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