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Algebra / Linear functions Difficulty: Easy

$d = 16 - \frac{x}{30}$

The equation shown gives the estimated amount of diesel $d$ , in gallons, that remains in the gas tank of a truck after being driven $x$ miles, where $0 \leq x \leq 480$ . What is the estimated amount of diesel, in gallons, that remains in the gas tank of the truck when $x equals 300$ ?

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Explanation

Choice B is correct. It’s given that the equation $d = 16 - \frac{x}{30}$ gives the estimated amount of diesel $d$ , in gallons, that remains in the gas tank of the truck after being driven $x$ miles. Substituting $300$ for $x$ in the given equation yields $d = 16 - \frac{300}{30}$ , which is equivalent to $d = 16 - 10$ , or $d equals 6$ . Therefore, the estimated amount of diesel that remains in the gas tank of the truck when $x equals 300$ is $6$ gallons.

Choice A is incorrect. This is the estimated amount of diesel, in gallons, that will remain in the gas tank of the truck when $x equals 480$ , not when $x equals 300$ .

Choice C is incorrect. This is the estimated amount of diesel, in gallons, that will remain in the gas tank of the truck when $x equals 60$ , not when $x equals 300$ .

Choice D is incorrect. This is the estimated amount of diesel, in gallons, that will remain in the gas tank of the truck when $x equals 0$ , not when $x equals 300$ .