Explanation
Correct answer: A.
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.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This is closest to the predicted number of larvae in a colony with worker ants.
Choice C
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
Choice D is incorrect. This is closest to the predicted number of larvae in a colony with worker ants.