Respuesta :
Answer:
The two plumbers charge the same for 2.5 hours of work.
Step-by-step explanation:
The first plumber's charge is given by F(x).
The second plumber's charge is given by S(x).
One charges $105 for a visit plus $30 per hour of work.
This means that, for x hours of work, the charge is given by:
[tex]F(x) = 105 + 30x[/tex]
The other charges $80 per visit plus $40 per hour of work.
This means that, for x hours of work, the charge is given by:
[tex]S(x) = 80 + 40x[/tex]
For how many hours of work do the two plumbers charge the same?
This is x for which:
[tex]S(x) = F(x)[/tex]
So
[tex]80 + 40x = 105 + 30x[/tex]
[tex]10x = 25[/tex]
[tex]x = \frac{25}{10}[/tex]
[tex]x = 2.5[/tex]
The two plumbers charge the same for 2.5 hours of work.
Answer:
The two plumbers charge the same for 2.5 hours of work.
The first plumber's charge is given by F(x).
The second plumber's charge is given by S(x).
One charges $105 for a visit plus $30 per hour of work.
This means that, for x hours of work, the charge is given by:
The other charges $80 per visit plus $40 per hour of work.
This means that, for x hours of work, the charge is given by:
For how many hours of work do the two plumbers charge the same?
This is x for which:
So
The two plumbers charge the same for 2.5 hours of work.
