Question

Mrs. Solar is remodeling a house and is looking for a contractor to do the work. She is getting quotes from 3 different contractors, and will hire one of them based on the total cost. Each company uses a formula to calculate its fees based on the number of hours the work will take.
Mrs. Solar modeled Contractor 1’s fee formula with the equation y = 50x + 200.

(a) Graph the equation y = 50x + 200. Give each axis a label.
(b)Describe what the equation y = 50x + 200 means in the real-world context.
(c)Give 3 ordered pairs that are true to the equation and explain what each ordered pair me

Answer 1

@Tootles143 @Nnesha @KyanTheDoodle @jim_thompson5910 @inowalst @iamabarbiegirl @dtan5457 @Babynini

Answer 2

@wio @geerky42 @Bee_see

Answer 3

your equation is y=50x+200 ---> y=mx+b. where m is the slope and b the y-intercept.

Answer 4

Your are going to start your graph is (0, 200)

Answer 5

then (2,300) right?

Answer 6

start your graph at*

Answer 7

No, you are going to do rise/run.

Answer 8

it's acutally (1,300)

Answer 9

go up "50" and run "1"

Answer 10

ok one second please

Answer 11

oh, wait. got mixed up. from 200, go up "50" and run "1"

Answer 12

ok

Answer 13

how do i draw on the graph picture?

Answer 14

so i put a mark on (1,250) ???

Answer 15

yes. you can see the points in the graph i posted.

Answer 16

ok so that is what i draw?

Answer 17

yes

Answer 18

ok gimme a sec please!

Answer 19

do i stop writing the (2,250), (2,300)..... i stop writing those at (4,400)

Answer 20

?? or do i keep writing them or does it not matter?

Answer 21

you can draw a line like this but the line has to go through points (1, 250) (2, 300) (3, 250) (4, 400) (5, 450) and (6, 500) (7, 550)

Answer 22

(1, 250) (2, 300) (3, 350)* (4, 400) (5, 450) and (6, 500) (7, 550)

Answer 23

so the line basically goes through (0,200) to (7,550) with the dots in between?

Answer 24

lol im a little slow :P

Answer 25

yes. but remember that you have to go up "50" and run "1"

Answer 26

so that's part a.

Answer 27

ahh okay! whats next?

Answer 28

let's move to b. The equations is y=50x+200. 200 is a flat rate here.

Answer 29

it means there is $200 for the work and an additional $50 for every extra hour?

Answer 30

It's like someone telling you that the person can do a job for you, but you have to pay them some money first. In this case, it will be, say, $200.

Answer 31

yes

Answer 32

correct.

Answer 33

yippy! okay next?

Answer 34

ok. for c, we will choose 3 points from the graph. which ones do you want to use?

Answer 35

(0,200) (1,250) and (2,300)

Answer 36

OK. For (0, 200) is your starting point, right? In this point, it means you have only paid the flat rate.

Answer 37

ok so i only paid for the job to be done so yes!

Answer 38

then go to to point (1, 250). Remember the equation y=50x+200. x=hours=1, right?

Answer 39

You have paid for the flat rate (200) and they have worked for an hour, which costs you each $50. In total, you have paid 250 for the work.

Answer 40

yes