Kelly is considering job offers from two companies iTechUSA

Kelly is considering job offers from two companies. iTechUSA offered her a starting salary of $58, 980 with a 4% raise at the end of each year. FastTech offered her a starting salary of $47,000 with a raise of $2500 at the end of each year. What is the ratio of Kelly\'s salary one year compared to her salary in the previous year for iTechUSA? If Kelly works for iTechUSA, her salary for any year is % of her salary from the previous year. Define a function, f, that expresses Kelly\'s varying salary at iTechUSA in terms of the varying number of years, n, since she accepted the position. Define a function, g, that expresses Kelly\'s varying salary at FastTech in terms of the varying number of years, n, since she accepted the position. Determine Kelly\'s projected salary at each company after working for 3 years. Kelly\'s salary at iTechUSA after 3 years: Kelly\'s salary at FastTech after 3 years: Use function notation to represent the change in Kelly\'s projected salary at iTechUSA as the number of years she works increases from 4 to 6.

Solution

iTech -- $ 58980 ;   4% raise at the end of each year

Fast Tech --- $ 47000 ; raise = $ 2500 at the end of each year

% raise = (2500/47000)*100 = 5.32%

iTech : 1 st year salary = $58980 \' 2nd year salary = 58980( 1.04)

a) Ratio of salary = 58980( 1.04)/58980 = 1.04

b) In any year n , salary = 58980(1.04)^n

Previous year salary n-1 = 58980(1.04)^n-1

salary of any year = 104%

c) f(n) = 58980(1.04)^n

d) AT Fast Tech

g(n) = 47000(1.0532)^n