Hi I need help with this question please.
The base salary for a job is $3,000 per month. For each full year a person holds the job the salary increases by $300 per month.
A) Write as a function where x is years worked and y is the total monthly salary.
B)Solve the function if the person has worked for 4 years.
I do not understand how to do this question please help
look at the pattern:
salary now
=salary(0) = 3000
salary after 1 year
= salary(1) = 300 + 3000
salary after 2 years
= salary(2) = 2(300) + 3000
....
salary after n years
= salary(n) = n(300) + 3000
A)
salary(n) = 300n + 3000
so now just plug in whatever number of years for n
B)
so if n=4
salary(4) = 300(4) + 3000 = 4200
Sure, I'd be happy to help you with that!
A) To write a function for this scenario, we need to consider two factors: the base salary and the increase per year.
Let's start with the base salary, which is $3,000 per month. We can represent this in the function as a constant value.
Next, for each full year a person holds the job, the salary increases by $300 per month. Since we are looking at the total monthly salary, we need to multiply the number of years worked by the increase per year.
Combining these two factors, the function can be written as:
y = 3000 + 300x
Here, y represents the total monthly salary and x represents the number of years worked.
B) To solve the function for the person who has worked for 4 years, we simply substitute x with the number of years in the function and calculate the value of y.
Using the formula y = 3000 + 300x, when x = 4:
y = 3000 + 300(4)
= 3000 + 1200
= 4200
Therefore, the total monthly salary for someone who has worked for 4 years is $4,200.
I hope this explanation helps! If you have any further questions, please feel free to ask.