Answer:
The explicit formula which represents his salary after n years is
= 2375 n + 34125
Step-by-step explanation:
The given is:
1. Jorge's starting annual salary is $36,500
2. At the beginning of each new year, he receives a $2,375 raise
We need to write an explicit formula to represent his salary after n years
The salary of the first year is $36500
Each year after the first year his salary will increase by $2375
Then his salary can form an arithmetic series because there is a
constant difference between each two consecutive years
The rule of the arithmetic series is , where
is the first term, d is the constant difference and n is the
position of the number in the series
∵ = 36500
∵ d = 2375
∴ = 36500 + (n - 1)(2375)
∴ = 36500 + 2375 (n - 1)
- Simplify it
∴ = 36500 + 2375 n - 2375
- Add like term
∴ = 34125 + 2375 n
The explicit formula which represents his salary after n years is
= 2375 n + 34125
Learn more:
You can learn more about series in brainly.com/question/7027848
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