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Math·Problem-Solving and Data Analysis·Two-variable data: Models and scatterplots

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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 $y=0.67x+2.6$, where $20\le x\le 110$ gives the predicted number of larvae, $y$, in the colony.

If one of these colonies has 52 worker ants, which of the following is closest to the predicted number of larvae in the colony?

A

37

B

52

C

74

D

170