Joni is considering job offers from two companies. Company A offered her a starting salary of $61,780 with a 5.5% raise at the end of each year. Company B offered her a starting salary of $46,700 with a raise of $2300 at the end of each year.
a. What is the ratio of Joni's salary one year compared to her salary in the previous year for Company A?
b. If Joni works for Company A, her salary for any year is % of her salary from the previous year.
c. Define a function, f, that expresses Joni's varying salary at Company A in terms of the varying number of years, n, since she accepted the position.
d. Define a function, g, that expresses Joni's varying salary at Company B in terms of the varying number of years, n, since she accepted the position.
e. Determine Joni's projected salary at each company after working for 3 years.
i. Joni's salary at Company A after 3 years: $
ii. Joni's salary at Company B after 3 years: $
f. Use function notation to represent the change in Joni's projected salary at Company A as the number of years she works increases from 4 to 7.