1. Let S(x) represents a faculty member's yearly salary x years after beginning a position at a university. a. Use function notation to represent $2300 more than a faculty member's salary after 6 years on the job. b. Use function notation to represent the salary of a faculty member after 3 years more than n years on the job. c. Use function notation to represent a salary that is 2 times as large as the salary of a faculty member after 5 years on the job. d. How many times as large is the salary of a faculty member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years?

The function notations for the given question are:

a.

b.

c.

d.

Function notations can be defined as a method of writing functions that are precise and easy to understand. Function notations is a way to convert lengthy texts into functions. The most commonly used functional notation is f(x).

For the given question, let S(x) be the salary of a faculty member after x years.

a.The functional notation to represent a faculty member's salary after 6 years is:

, where 6 is the number of years and S is the salary per year.

b. The functional notation to represent salary of a faculty member after 3 years more than n years on the job is:

, where n+3 represents number of years into the job.

c. The functional notation to represent  a salary that is 2 times as large as the salary of a faculty member after 5 years on the job is:

, where S(5) is the salary after 5 years into the job.

d. The difference between salary of a faculty member after 14 years and salary of another faculty member after 3.1 years can be represented as:

, where S(14) is the salary after 14 years and S(3.1) is the salary after 3.1 years into the job.

Therefore the functional notations for the given question are:

a.

b.

c.

d.

Learn more about function notations here:

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a)S(6)+2300

b)S(n+3)

c)2(S(5))

d)S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

Step-by-step explanation:

Let S(x) represents a faculty member's yearly salary x years after beginning a position at a university.

a)Use function notation to represent $2300 more than a faculty member's salary after 6 years on the job

$2300 more than a faculty member's salary after 6 years on the job : S(6)+2300

b)Use function notation to represent the salary of a faculty member after 3 years more than n years on the job.

The salary of a faculty member after 3 years more than n years on the job : S(n+3)

c)Use function notation to represent a salary that is 2 times as large as the salary of a faculty member after 5 years on the job.

A salary that is 2 times as large as the salary of a faculty member after 5 years on the job :

2(S(5))

d)How many times as large is the salary of a faculty member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years?

S(14)=S(3.1)

S(14)-S(3.1) more than salary of member who has been on the job for 14 years as compared to someone who has been on the job for 3.1 years

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: