Rosa is considering job offers from two companies.

Company A offered her a starting salary of $50,000 with a $2100 raise at the end of each year.

Company B offered her a starting salary of $50,000 with a 3.4% raise at the end of each year.

Let f (t) represent Rosa's salary at Company A, t years after accepting a position at Company A, and let g (t) represent Rosa's salary at Company B t years after accepting a position at Company B.

Complete the table of values below:

t f (t) g (t)

0 50000 50000

1

2

3

its company a

Step-by-step explanation:

Let f (t) represent Rosa's salary at Company A, t years after accepting a position at Company A,

Company A offered her a starting salary of $50,000 with a $2100 raise at the end of each year. This means that in t years, her salary would be

f (t) = 50000 + 2100t

let g (t) represent Rosa's salary at Company B t years after accepting a position at Company B. This means that in t years, her salary would be

g (t) = 50000 (1 + 3.4/100) ^t

g (t) = 50000 (1.034) ^t

The table would be

t f (t) g (t)

0 50000 50000

1 50000 + 2100 * 1 50000 (1.034) ^1

= 52100 = 51700

2 50000 + 2100 * 2 50000 (1.034) ^2

= 54200 = 53457.8

2 50000 + 2100 * 3 50000 (1.034) ^3

= 56300 = 55275.4