Question

Cynthia was offered two different jobs for the summer. Working as a camp counselor, she will earn $10 per hour plus an additional$50 bonus. Her earnings after x hours can be represented by the function f(x) = 10x + 50. Working as a lifeguard, Cynthia will earn $15 per hour and an additional$25 bonus. Her earnings after x hours can be represented by the function g(x) = 15x + 25. The arithmetic operation (f − g)x can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours. What is the function (f − g)x?

1. Answer: (f − g)x = – 5x + 25
Step-by-step explanation: I got it right!

2. thienthanh
The arithmetic operation (f − g)x which can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours is (f − g)x = – 5x + 25

### Function

Camp counselor:
• Hourly rate = $10 per hour • Bonus =$50
Earnings function
f(x) = 10x + 50
Lifeguard:
• Hourly rate = $15 per hour • Bonus =$25
Earnings function
g(x) = 15x + 25
So,
(f − g)x = f(x) – g(x)
= (10x + 50) – (15x + 25)
= 10x + 50 – 15x – 25
(f − g)x = – 5x + 25
Therefore the function (f − g)x is (f − g)x = – 5x + 25