Question

Andrew is a small business owner who wants to hire an accountant. Accountant A is offering his services for $50 an hour. Accountant B is offering her services for $35 an hour plus an initial fee of $375. Write a function, f(x), to represent the cost charged by Accountant A. Write a function, g(x), to represent the cost charged by Accountant B. For how many hours of work do the two accountants charge the same amount of money?

Answer 1

Accountant A:
f(x) = 50x

Accountant B:
g(x) = 35x + 375

f(x) = g(x) for what x value?
50x = 35x + 375
50x - 35x = 35x - 35x + 375
15x = 375
x = 25

They must work for 25 hours to receive an equal amount of money.