A geologist needs to collect at least 67 samples of lava from a volcano. If the geologist has already collected

Question

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?

Accepted Answer

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 + x samples. It's given that the geologist needs to collect at least 67 samples. Therefore, 63 + x &#8805; 67 . Subtracting 63 from each side of this inequality yields the inequality x &#8805; 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.

Question a05220