A retail outlet offers a retention bonus for each shopping season an employee remains with the company. Samuel's starting pay is $12.50/hr. For each season Samuel remains with the company, he receives a $0.35/hr raise. Find f(n), Samuel's hourly rate after n seasons with the company. Then determine his hourly rate after 18 seasons. f(n)= After 18 seasons with the company, what will Samuel's hourly rate will be $ /hr. (Round to the nearest cent.)

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Step-by-step explanation:

You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.

Samuel's hourly rate after n seasons at the company will then be:

f(n)= 12.50 + 0.35*n

To determine the hourly rate after 18 seasons, you must replace the value n with 18:

f(18)= 12.50 + 0.35*18

Solving you get:

f(18)= 12.50 + 6.3

f(18)= 18.8

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.