Question a-geol
A geologist needs to collect at least samples of lava from a volcano. If the geologist has already collected samples from the volcano, what is the minimum number of additional samples the geologist needs to collect?
A geologist needs to collect at least 67 samples of lava from a volcano. If the
Easy-difficulty · SAT Math · Linear Inequalities in One or Two Variables — Solving single-variable inequalities. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice C is correct. It's given that the geologist has already collected samples from the volcano. Let represent the number of additional samples the geologist needs to collect. After collecting additional samples, the geologist will have collected a total of samples. It's given that the geologist needs to collect at least samples. Therefore, . Subtracting from each side of this inequality yields the inequality . Thus, the geologist needs to collect a minimum of 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 additional samples, the geologist will have collected a total of samples, which is less than samples.
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