[tex]\color{cadetblue}Solution \: (1) : [/tex]
Base fee for a service call = $145
Fee charged per hour = $55
Let the number of hours be depicted by h .
This statement can be written in an equation as :-
[tex]\color{hotpink} = 145 + 55h[/tex]
Therefore , an equation to find the total amount Sam would earn for each job = 145 + 55h .
[tex]\color{cadetblue}Solution \: (2) : [/tex]
Number of hours Sam has to work in order to earn $530 :-
[tex] = 145 + 55h = 530[/tex]
[tex] = 55h = 530 - 145[/tex]
[tex] = 55h = 385[/tex]
[tex] = h = \frac{385}{55} [/tex]
[tex]\color{olive} h \color{hotpink}= 7[/tex]
Which means Sam has to work for 7 hours to earn $530 .
Therefore , Sam has to work for 7 hours in order to earn $530 .