Can somebody please help me and explain to me step by step how to complete this "real-world linear relationship"? The problem is in the replies.

Question

starfireandrobin · Answer

attachment

pinkluka · Answer

is this 8th grade?

starfireandrobin · Answer

This is 8th grade work, but in a 9th grade lesson.

starfireandrobin · Answer

Basically for review.

starfireandrobin · Answer

I've always had my troubles with these equations and graphs and whatnot.

pinkluka · Answer

you are in k12?

starfireandrobin · Answer

Yes.

pinkluka · Answer

hold on let me draw something that might help

will.h · Answer

rate of each plumber is the slope 
ideas? 

HINT:
that is a linear equation

will.h · Answer

in plumber 1 we hvae to find the slope 
we can do that by using 
y2 - y1/ x2-x1
we have the points (0,60) (6,600) can you find it?

starfireandrobin · Answer

Ah @Will.H , I know how to do this. Give me a second. And sorry for a little late response, I was watching a graphing video.

will.h · Answer

No problem 
let me know if you need additional help

starfireandrobin · Answer

Alright, from the y2-y1/x2-x1 equation, I got 540/6. Doing the division I got 90.

will.h · Answer

therefor the rate of plumber 1 is 90

starfireandrobin · Answer

Is this plumber 1's cost per hour?

starfireandrobin · Answer

Ah, that's what I thought.

starfireandrobin · Answer

So then I solely need help with the second one now.

will.h · Answer

plumber 2:

in the original form of linear equation we have 
y = mx + b
where m is the slope (rate of change)

ideas about plumber 2 rate?

starfireandrobin · Answer

We have to find the value of X in this equation, correct?

will.h · Answer

no 
they just want to know the rate
which is in the original equation y = mx + b it is m so in the equation of plumber 2 
y = 105x + 75 
what is m here?

starfireandrobin · Answer

105?

will.h · Answer

y = mx + b
y = 105x + 75

y is y and m is? and x is x and b is 75

yess indeed 105

starfireandrobin · Answer

I got it correct, thank you!! One more question though. What IS "M"? I know it's the rate in this problem, but what does M mean? and B? I'm sorry if I'm sounding confusing.

will.h · Answer

m is the slope and b is the y intercept when x = 0

will.h · Answer

let me know if you have further questions\
feel free to ask them

starfireandrobin · Answer

Ah, I do remember that now. Thank you so much for everything :)

will.h · Answer

you welcome :)