The number of tasks completed by computer B is 12 more than the number of tasks completed by computer A. Let represent the relationship between the…

The problem describes a relationship where the number of tasks for computer B, represented by y or F(x), is "12 more than" the number of tasks for computer A, represented by x. The phrase "more than" translates directly to the mathematical operation of addition. Therefore, the number of tasks for computer B is found by adding 12 to the number of tasks for computer A. This relationship is correctly expressed by the function F(x) = x + 12.

A. F(x)=x/12 represents a situation where the number of tasks is divided by 12, not increased by 12.

C. F(x)=x-12 represents a situation where the number of tasks is 12 less than computer A's, which is the opposite of the given scenario.

D. F(x)=12x represents a situation where the number of tasks is 12 times the amount of computer A's, not 12 more.

1. Lumen Learning, "College Algebra," Module 4: Linear Functions, Section: "Model with Linear Functions." This section details how to translate verbal descriptions like "more than" into mathematical expressions.

2. OpenStax, "Elementary Algebra 2e," Chapter 2.5: "Problem-Solving Strategy," Section: "Translate Word Phrases to Math Notation." This resource provides a table translating phrases like "more than" to the "+" symbol.