Question

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.

Answer 1

is this 8th grade?

Answer 2

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

Answer 3

Basically for review.

Answer 4

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

Answer 5

you are in k12?

Answer 6

Yes.

Answer 7

hold on let me draw something that might help

Answer 8

rate of each plumber is the slope
ideas?

HINT:
that is a linear equation

Answer 9

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?

Answer 10

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.

Answer 11

No problem
let me know if you need additional help

Answer 12

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

Answer 13

therefor the rate of plumber 1 is 90

Answer 14

Is this plumber 1's cost per hour?

Answer 15

Ah, that's what I thought.

Answer 16

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

Answer 17

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?

Answer 18

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

Answer 19

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?

Answer 20

105?

Answer 21

y = mx + b
y = 105x + 75

y is y and m is? and x is x and b is 75

yess indeed 105

Answer 22

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.

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

you welcome :)