The number of employees under supervisor B is 13 more than the number of employees under supervisor A. Let represent the number of employees under…

The problem describes a relationship between the number of employees under two supervisors. Let 'n' be the number of employees under supervisor A. The number of employees under supervisor B, which the function F(n) represents, is "13 more than" the number under supervisor A. The phrase "more than" translates to the mathematical operation of addition. Therefore, the function that correctly represents this relationship is F(n) = n + 13.

A. F(n)=13n: This represents a multiplicative relationship ("13 times the number of employees"), not the additive one described.

B. F(n)=n/13: This represents a division ("the number of employees divided by 13"), which is not what the problem states.

D. F(n)=n-13: This represents "13 less than" the number of employees under supervisor A, which is the opposite of the stated relationship.

1. OpenStax. (2020). Prealgebra 2e. Section 2.4: Evaluate, Simplify, and Translate Expressions. (Covers translating word phrases into algebraic expressions, e.g., "more than" implies addition).

2. Lumen Learning. (n.d.). Beginning Algebra. Module 3: Translating English Words into Algebraic Expressions. (Provides examples of keywords and their corresponding mathematical operations).