starting salary for a job is $30,000 with a guaranteed raise of $5,000 each year for the first 5 years. write an explicit formula to represent how much money you would earn each year. please somone help!

The salary for any given year n is

salary = 30000 + 5000n

how much money would you earn in the fifth year? would you just plug in 5 into n to get your answer?

yes

however, we have to look carefully what we mean by fifth year

so for the duration of year 1 you would earn 30000
for the duration of the 2nd year you would earn 35000
for the duration of the 3rd year you would earn 40000
for the duration of the 4th year you would earn 45000
for the duration of the 5th year you would earn 50000

notice 50000 = 30000 + 4(5000)

so I will revise my formula to say
salary = 30000 + 5000(n-1) , where n is the number of the year

To find the explicit formula for the amount of money earned each year, we can use the information given:

Starting salary = $30,000
Guaranteed raise = $5,000

Based on this, we can see that the starting salary remains the same for each year, and the only change is the additional raise of $5,000 each year. Let's denote the year as "n", where n = 1 represents the first year, n = 2 represents the second year, and so on.

To find the salary for a given year, we can use the formula:

Salary = Starting salary + (n - 1) × Guaranteed raise

Plugging in the values we have, we get:

Salary = $30,000 + (n - 1) × $5,000

This is the explicit formula that represents how much money you would earn each year.