sat-dog

Choice A is correct. It's given that the equation $y=0.67x+2.6$, where $20\le x\le 110$, gives the predicted number of larvae, $y$, in a colony of ants if the colony has $x$ worker ants. If one of these colonies has $58$ worker ants, the predicted number of larvae in that colony can be found by substituting $58$ for $x$ in the given equation. Substituting $58$ for $x$ in the given equation yields $y=0.67\left(58\right)+2.6$, or $y=41.46$. Of the given choices, $41$ 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 $87$ 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 $58$.

Choice D is incorrect. This is closest to the predicted number of larvae in a colony with $280$ worker ants.