Task# Chicken and Steak, Variation 1

Illustrative MathematicsVaries

This task presents a real world situation that can be modeled with a linear function best suited for an instructional context. Part (a) is relatively straightforward, although the wording is left intentionally ambiguous about whether the amount of steak should be written as a function of the amount of chicken or the amount of chicken as a function of the amount of steak (both approaches are presented in the solutions shown below). Whenever we have a (nonconstant) linear relationship between two quantities, we can always write either quantity as a function of the other, and students should understand that which variable is the dependent variable and which is the independent variable is a choice made by the modeler. Part (b) is more open-ended.