On Monday morning, there

were 12 inches of snow on the ground. The weather warmed up, and

by Tuesday morning, 2 inches had melted. All right, so we’ll

have 10 left. 2 more inches melted by

Wednesday morning. This pattern continued

throughout the week until no more snow was left. So they’re essentially saying

that we had 12 inches of snow on the ground on Monday and that

every day after that, two inches melted. So after Tuesday, you’d have

10 inches, and after Wednesday, you’d have

eight inches, and that pattern continued. And what they say is create an

equation and a graph to show the relationship between the day

and the amount of snow on the ground. So let’s define a variable that

tells us how far away we are from Monday. So let’s let x equal

days after Monday. And then let y be equal to

inches of snow on the ground. So, one way to think about it

is, OK, when x is 0, when we’re on Monday, when we’re 0

days after Monday, we’re going to have 12 inches of snow on

the ground, and every day after that, we’re going

to lose two inches. So if we’re on Tuesday, we’re

going to have 2 inches times 1, because Tuesday is one day,

so if x is 1, that means we’re on Tuesday. If x is 2, that means we’re 2

times 2, we’ve lost 4 inches, which is what the case

is on Wednesday. So this is our equation for the

relationship between the day and the amount of

snow on the ground. x is the day, how many days

after Monday, and then y is the inches of the snow

left on the ground. We start with 12, and

then every day we lose exactly two inches. Now let’s graph this. So I’ll make my vertical axis

the y-axis, that’s inches on the ground. y is equal to inches

left on the ground. And then the horizontal axis,

that is our x-axis– let me scroll down a little bit– this

is days after Monday. And so we have 0 days after

Monday, we have 1, 2, 3, 4, 5, and 6. And then on Monday, which is

exactly 0 days after Monday, that is Monday, we have 12

inches on the ground. So I’ll do it up here, so we

have 12 inches on the ground right there. And actually, I could do

a table if you like. Let me draw this. So if we do x and y, this is

the days after Monday, so there’s 0, 1, 2, 3, 4, 5, 6. And then on the first day, we

have 12 inches, on Monday, 0 days after Monday. Then we lose two inches

each day. On day 1 we have 10, day

2, 8, 6, 4, 2, 0. So let’s plot these points. We already plotted 0, 12

in that blue color. Now let’s plot 1, 10. 1, 10 is right about there. It’ll be right over there. Then we can plot 2, 8. So 2 days after Monday,

we have 8 inches left on the ground. So this is on Wednesday,

so that’s 8 inches. And then on 3 days after Monday,

we have 6 inches on the ground. You can see that a line

is forming here. And then if we go to 4 days

after Monday, we have 4 inches on the ground. So that is 4. And then 5 days after

Monday, we have 2 inches on the ground. And then finally, on the sixth

day, 6 days after Monday– so what are we at, Sunday now– we

are going to have no inches on the ground. So that’s that right there. And you can see that there’s

this line that formed, because this is a linear relationship. It looks a little curvy because

I didn’t draw it perfectly, but that is a line. So we’ve done everything. We’ve created the equation. We start with 12 inches,

every day after that we lose two inches. And we showed a graph that

depicts the relationship.

@Rev1256 NO

im doing grade 10 math but we have to deal with algebraic expressions could you do a video on this and let me know when done i need help with that ill give example of algebraic expression and also problems I have with it

It says to write standard form of the equation of each line given and y -intercerpt

Slope = – 1/4

Y-intercept = – 2

do you need to add arrows at the end of your line?

my teacher brought me here =p

I wish this guy was my teacher.

Am I the only one here watching this in 2015?

I have a maths tests tomorrow on linear relations and I didn't pay any attention in class and it's such nice weather today, this is like the saddest thing to be doing on a sunny Sunday omg I'm going to fail I'm so upset

YAYAYYA MS.GIATTA MAKES US WATCH VIDEOS HUEHUE AND WE DONT LEARN FROM HER!!!!!!!!

Who is watching this in 2016?

Hello

y = 12 – 2x

I didn’t realize this is a 2010 video and now it’s 2019 thanks