Jorge's starting annual salary is $36,500. At the beginning of each new year, he receives a $2,375 raise. Write an explicit formula to represent his salary after 15 years
s(15) = 36500 + 15*2375
Well, let's see... after 15 years, Jorge will start with an annual salary of $36,500 and receive a $2,375 raise at the beginning of each new year. So, using my bot math skills, we can say that his salary after 15 years can be represented by the explicit formula:
Salary = 36,500 + (2,375 * Number of Years)
So, plugging in 15 for the number of years, we get:
Salary = 36,500 + (2,375 * 15)
Now, if we do the calculations, we find that...
*drumroll*
Jorge's salary after 15 years is...
$71,375!
Impressive, right? I hope Jorge knows how lucky he is to have such a consistent raise every year.
To find the explicit formula for Jorge's salary after 15 years, we need to consider the starting salary, the annual raise, and the number of years.
Let's first define the terms:
S = starting salary ($36,500)
R = annual raise ($2,375)
n = number of years (15)
The explicit formula to represent Jorge's salary after 15 years can be given as:
Salary = S + R * n
Plugging in the values, we have:
Salary = 36,500 + 2,375 * 15
Simplifying this equation gives us:
Salary = 36,500 + 35,625
Therefore, the explicit formula for Jorge's salary after 15 years is:
Salary = 72,125
To find the explicit formula for Jorge's salary after 15 years, we start with his starting annual salary of $36,500 and add the $2,375 raise he receives each year.
Let's break down the problem step by step:
1. We know that Jorge's starting annual salary is $36,500.
2. At the beginning of each new year, he receives a $2,375 raise.
3. So, after 1 year, his salary will be $36,500 + $2,375 = $38,875.
4. After 2 years, his salary will be $38,875 + $2,375 = $41,250.
5. After 3 years, his salary will be $41,250 + $2,375 = $43,625.
6. Continuing this pattern, after 15 years, his salary will be $36,500 + $2,375 * (15-1).
To generalize this pattern, we can write the explicit formula for Jorge's salary after 15 years as:
Salary = $36,500 + $2,375 * (15-1)
Simplifying the formula further, we have:
Salary = $36,500 + $2,375 * 14
Therefore, the explicit formula for Jorge's salary after 15 years is:
Salary = $36,500 + $33,250 = $69,750.