Comparing Functions

Question

Congratulations! You have just been offered a part time work/study job for all four years of college. They will pay you a starting salary of $6000 with a raise of $200 per year. 

Type L if the situation is best modeled by a linear model or E if the situation is best modeled by an exponential model.  

The equation that represents your salary after t years is y = .

If necessary, use ^ for exponents, x² would be written as x^2. 

To the nearest dollar, after 2 years your salary will be $

Answer 1

Given:

Starting salary = $6000

Raise per year = $200

Let t be the number of years so we can form a linear equation with that since the salary is increasing at a constant rate of $200:

A linear equation can always be written in the form of y = mt + b where m is the rate it is increasing / decreasing at and b is the starting value. So, our m is 200 and b is 6000 and we can write the equation like this:

y = 200t + 6000

Now, in order to find the salary after 2 year, we can simply plug in 2 for t into our equation since t stands for the time in years:

y = 200(2) + 6000

y = 400 + 6000

y = 6400

Therefore, the salary after 2 years will be $6400.

Answer 2

6000+200y. linear exponet