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Linear inequalities in one or two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

Monarch butterflies can fly only with a body temperature of at least . If a monarch butterfly's body temperature is , what is the minimum increase needed in its body temperature, in , so that it can fly?

ExplanationShow

Choice B is correct. It's given that monarch butterflies can fly only with a body temperature of at least . Let represent the minimum increase needed in the monarch butterfly's body temperature to fly. If the monarch butterfly's body temperature is , the inequality represents this situation. Subtracting from both sides of this inequality yields . Therefore, if the monarch butterfly's body temperature is , the minimum increase needed in its body temperature, in , so that it can fly is .

Choice A is incorrect. This is the minimum increase needed in body temperature if the monarch butterfly's body temperature is , not .

Choice C is incorrect. This is the minimum increase needed in body temperature if the monarch butterfly's body temperature is , not .

Choice D is incorrect. This is the minimum increase needed in body temperature if the monarch butterfly's body temperature is , not .

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