Desmos Graphing Calculator

CalcReferenceCopy

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

medium

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 $x$ 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 $35$ worker ants, which of the following is closest to the predicted number of larvae in the colony?

A

$114$

B

$48$

C

$38$

D

$26$