let f be the function that associates the employee number x of each employee of a corporation with his or…

let f be the function that associates the employee number x of each employee of a corporation with his or her annual salary f(x) in dollars. suppose each employee was awarded a $500 across - the - board raise and an additional 4% of his or her increased salary. write a function p(x) to describe the new salary. what is the function that describes the new salary? p(x)= (type an expression involving f(x). type your answer in slope - intercept form. do not include the $ symbol in your answer.)

let f be the function that associates the employee number x of each employee of a corporation with his or her annual salary f(x) in dollars. suppose each employee was awarded a $500 across - the - board raise and an additional 4% of his or her increased salary. write a function p(x) to describe the new salary. what is the function that describes the new salary? p(x)= (type an expression involving f(x). type your answer in slope - intercept form. do not include the $ symbol in your answer.)

Answer

Explanation:

Step1: Calculate the salary after across - the - board raise

The salary after a $500$ across - the - board raise is $f(x)+500$.

Step2: Calculate the additional 4% raise

The additional 4% raise on the increased salary $f(x) + 500$ is $0.04(f(x)+500)$.

Step3: Find the new salary function

The new salary function $p(x)$ is the sum of the salary after the across - the - board raise and the additional 4% raise. So $p(x)=(f(x)+500)+0.04(f(x)+500)$. Factor out $(f(x)+500)$: $p(x)=(f(x)+500)(1 + 0.04)$. Simplify: $p(x)=1.04(f(x)+500)=1.04f(x)+520$.

Answer:

$1.04f(x)+520$