Question

Benny gets a job at a law firm with a salary of 70,000$ per year. After the first year, his salary increases to 73,000$. Over the next five years, he gets an increase of 3,000$ every year.

Part A: If you were to plot a graph of Benny’s annual salary, what would the slope and the y-intercept represent?

Part B: What equation would represent Benny’s annual salary over the years?

Answer 1

Hey there!

Part A-  The y-intercept would represent Benny's starting salary: b = 70,000.

The slope would represent Benny's annual raise: m = 3,000.

Part B- The y-intercept is b = 70,000.

The slope is m = 3,000.

The equation representing Benny's annual salary at any given year is y = mx + b, or y = 3,000x + 70,000, where x is the number of years since Benny started the job.