Question

Sandi is in need of an electrician. Electrician A is offering his services for an initial fee of $50 and $12per hour. Electrician B is offering her services for an initial fee of $32 and $15 per hour. When will thetwo electricians charge the same amount of money? Use a table to find the solution.

Answer 1

Let x represent the number of hours.

Let the function f(x) represent the total amount charged by Electrician A, as a function of the number of hours, x.

Let the function g(x) represent the total amount charged by Electrician B, as a function of the number of hours, x.

It is given that Electrician A is offering services for an intial fee $50 and $12 per hour. Hence, the function that represents this is a linear function:

`f(x)=12x+50`

It is also given that Elec