Question

Question 13 (1 point)

Jerome is starting a new job. His contract states he will earn $42,000 the first year, and will
get a 4% raise per year. Which function S(x) represents Jerome's salary after a certain number
of years, x?

Answer 1

S(x)=42000 * 1.04^x

Explanation:

now = 42000

in 1 year = 42000 *1,04, because 4% increase is to multiply 1,04

in 2 years = 42000 *1,04*1.04 = 42000*1.04^2

in x years = 42000 * 1.04^x

Answer 2

`S(x)=42,000*(1.04)^(x)`

Explanation:

We have as data

a = $42,000 (salary during the first year)

x = number of years

i = 4% = 0.04 (annual increase interest)

S(x) = Salary based on the years elapsed

"a" and "i" are constant for each year, while "x" increases one each year.

The function S(x) can be calculated like this:

`S(x)=a*(1+i)^(x)`

Substituting constant values, we have

`S(x)=42,000*(1+0.04)^(x)`

Simplifying, we have

`S(x)=42,000*(1.04)^(x)`

Hope this helps!