Question

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 hours. Find the x and y intercepts. Is the value of the x intercept applicable to the electrician? Explain. Thank you to whoever answers this question, I am not asking this to cheat off of homework, but to understand the answer for what I am doing. Learning from it.

Answer 1

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

Answer 2

`y=32x+80`

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

`y=mx+b`

Where,
`m` is the ratio of change,
`b` is the initial condition (y-intercept),
`x` is time and
`y` is money.

Therefore, the equation which models this situation is

`y=32x+80`

The y-intercept is for
`x=0`

`y=32(0)+80=80`

The x-intercept is for
`y=0`

`0=32x+80\\x=(-80)/(32)= -2.5`

Observe that x-intercept is at (-2.5,0), which doesn't make sense to the problem, because time cannot be negative.