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Algebra / Linear inequalities in one or two variables Difficulty: Easy

A geologist needs to collect at least $67$ samples of lava from a volcano. If the geologist has already collected $63$ samples from the volcano, what is the minimum number of additional samples the geologist needs to collect?

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Explanation

Choice C is correct. It's given that the geologist has already collected $63$ samples from the volcano. Let $x$ represent the number of additional samples the geologist needs to collect. After collecting $x$ additional samples, the geologist will have collected a total of $63 plus x$ samples. It's given that the geologist needs to collect at least $67$ samples. Therefore, $63 + x \geq 67$ . Subtracting $63$ from each side of this inequality yields the inequality $x greater than or equals 4$ . Thus, the geologist needs to collect a minimum of $4$ additional samples.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the number of samples the geologist has already collected, rather than the minimum number of additional samples the geologist needs to collect.

Choice D is incorrect. If the geologist collects $0$ additional samples, the geologist will have collected a total of $63$ samples, which is less than $67$ samples.