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Algebra / Linear functions Difficulty: Medium

$g (m) = - 0.05 m + 12.1$

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?

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Explanation

Choice A 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 $negative 0.05$ . 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 B is incorrect and represents the number of gallons of gasoline in a full gas tank.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect and may result from conceptual errors.