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Linear functions SAT question
Math · Algebra · Medium · Answer it here, explanation included.
Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has worker ants, the equation , where , gives the predicted number of larvae, , in the colony. If one of these colonies has worker ants, which of the following is closest to the predicted number of larvae in the colony?
ExplanationShow
Choice A is correct. It's given that the equation , where , gives the predicted number of larvae, , in a colony of ants if the colony has worker ants. If one of these colonies has worker ants, the predicted number of larvae in that colony can be found by substituting for in the given equation. Substituting for in the given equation yields , or . Of the given choices, is closest to the predicted number of larvae in the colony.
Choice B is incorrect. This is closest to the predicted number of larvae in a colony with worker ants.
Choice C is incorrect. This is closest to the number of worker ants for which the predicted number of larvae in a colony is .
Choice D is incorrect. This is closest to the predicted number of larvae in a colony with worker ants.
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