An electrician charges $80 plus $32 per hour. Write an equation that represents the total fee y (in dollars) charged by the electrician for a job lasting x hour
Question
2 Answer

1. User Answers Stephany04
well the equation I got is 32x +80 = y
x representing how many hours and y representing how much money the electrician is gonna get from that job 
2. User Answers jajumonac
Answer:
[tex]y=32x+80[/tex]
Stepbystep explanation:
Givens
 An electrician charges $80 plues $32 per hour.
Now, according to the problem, the electrician charges initially $80, that's a constant, it's not related with the number hours, that means it's the initial condition, the constant term.
Then, he charges $32 per hour, that is, this charge depends on the number of hours, it's variable. In other words, it represents a ratio of change.
So, if we apply all this to an equation, it would be
[tex]y=mx+b[/tex]
Where, [tex]m[/tex] is the ratio of change, [tex]b[/tex] is the initial condition (yintercept), [tex]x[/tex] is time and [tex]y[/tex] is money.
Therefore, the equation which models this situation is
[tex]y=32x+80[/tex]
The yintercept is for [tex]x=0[/tex]
[tex]y=32(0)+80=80[/tex]
The xintercept is for [tex]y=0[/tex]
[tex]0=32x+80\\x=\frac{80}{32}= 2.5[/tex]
Observe that xintercept is at (2.5,0), which doesn't make sense to the problem, because time cannot be negative.