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

Answer:

$y=32x+80$

Step-by-step 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 $y=0$

$0=32x+80\\x=\frac{-80}{32}= -2.5$

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