Question

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?

Answer 1

Answer:

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

Answer 2

The function notations for the given question are:

a. $\rm S(x)=S(6)$

b. $\rm S(x) = S(n+3)$

c. $\rm S(x) = 2[S(5)]$

d. $\rm S(x) = S(14) - S(3.1)$

What is Function Notations?

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:

$\rm S(x)=S(6)$ , 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:

$\rm S(x) = S(n+3)$ , 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:

$\rm S(x) = 2[S(5)]$ , 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:

$\rm S(x) = S(14) - S(3.1)$, 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. $\rm S(x)=S(6)$

b. $\rm S(x) = S(n+3)$

c. $\rm S(x) = 2[S(5)]$

d. $\rm S(x) = S(14) - S(3.1)$

Learn more about function notations here:

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