Question

The table below shows the salary that Ellen earned at her job based on her years of experience.

Years of
Experience
Salary
4 $31,900
5 $32,625
6 $33,350
7 $34,075
8 $34,800
9 $35,525
10 $36,250
Which explicit formula can be used to determine the salary, f(n), that Ellen earned with n years of experience?

Answer 1

Find the difference between year 4 and year 5 salary.

`32,625 - 31,900 = 725` (rate of change)

Multiply
`4 * 725` then subtract that number from 31,900 to find out base salary

`4* 724 = 2,900`

`31,900 - 2,900 = 29,000`

That's the constant.

So,

`f(n) = 725n + 29,000`