Need to write an equation in Slope intercept form

Question

A starting associate professor in a certain department at ECU will start off in 2014 making $81,150. For every year after 2014, he will make an additional $4,603.30 per year.

 

a) Write an equation in slope-intercept form that expresses the relationship between the numbers of years he continues to work to his new salary.

 

b) What will be his annual salary after working at ECU for 8 years?

Answer 1

Megan, stop and think. If 2014 is year 0, the starting point, his salary, or the y-intercept, is $81,150. The variable is the number of years he works, adding $4603.30 per year.

 

y = 4603.30x + 81,150

 

After 8 years (in 2022)...

 

y = 4603.30(8) + 81,150

y = 117,976.4

 

In 8 years, he will make $117,976.40.