Answer:
b(t) = 70,000 + 3000t . . . . . salary after t years; t∈{0,1,2,3,4,5,6}
Step-by-step explanation:
We can let b(t) represent Benny's salary function with t being the number of completed years at the law firm, an integer. The function's domain includes only the first 6 years at the firm.
Since Benny gets the same raise each year, The function is linear. Its "y-intercept" is Benny's initial salary, and the rate of change is Benny's annual increase:
b(t) = 70,000 + 3,000t . . . . salary in dollars after t years with the firm