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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?

Respuesta :

adioabiola

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

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