Question

The graph below shows the price of different numbers of cans of beans at a store:


Which equation can be used to determine p, the cost of b cans of beans?

p = 9.50 + b
p = 9.50b
b = 9.50 + p
b = 9.50p

Answer 1

hi

Answer 2

Hey there!

Answer 3

can u help me?

Answer 4

Do you have an inkling on how to go about this question?

Answer 5

uhh i have no idea what inkling means

Answer 6

haha, I meant do you have any idea how to begin answering it? Were you able to eliminate any answer choices yet?

Answer 7

oh no not yet

Answer 8

That's alright.

Do you know the slope intercept form of an equation?

Answer 9

do you mean if i know if its proportional?

Answer 10

no, have you seen

y = mx + b
where m = slope
and b is the y-intercept

Answer 11

kinda but more in a lower grade way if u know what i mean

Answer 12

i know its like Y = Y x X

Answer 13

How are the x and y axises labelled in your graph?

Would b, the cost of beans, be x or y?

Answer 14

i mean Y = K x X

Answer 15

p = Y
b = x

Answer 16

y = kx is for proportionality, yes. And this particular equation does follow that pattern but not all equations will follow that pattern.

Answer 17

ok

Answer 18

did u see the screen shot of the graph

Answer 19

That's good! We've made some progress now.

We need to use the y = mx + b form of an equation

y = mx + c

You just said that p is our y
and b is our x

so let's replace y with p
and x with b

We get

p = mb +c

Answer 20

Yes, I did.

Do you know what the y-intercept is?

Answer 21

no im in 7th lol

Answer 22

prob should of told u that earlier lol

Answer 23

No, that's alright!

So the y-intercept is where the line crosses the y-axis. It's basically when x = 0.

What is the y-value when x = 0?
Just look at the graph

Answer 24

ok

Answer 25

anyway doesnt that we can eliminate b and d

Answer 26

no no

not yet!

What answer choices can we eliminate first? Remember we said that p was our y so the equation should start with
p =

Answer 27

76?? i think

Answer 28

woah where did you get the number 76 from

Answer 29

im lost should we start over

Answer 30

because all these big words that i dont know what they mean r confusing me

Answer 31

aww, I'm sorry

Answer 32

So we agree that

p is our y and
b is our x

right?

Answer 33

no im sorry im just waisting ur time

Answer 34

yea

Answer 35

now you know that equations are generally written as

y = mx + c

or how you even said
y = kx

so if p is our y. Then that means we switch the y with a p

p = mx + c

and we said b was our x. Just switch the x with a b

p = mb + c

now we have to find out what `m` and `c` are

but first we can eliminate a few answer choices
which answer choices don't start off with a p?

Answer 36

c and d

Answer 37

good!

Answer 38

Now, I know you haven't learned about y-intercepts. But have you learned about calculating the slope of a line?

Does `rise over run` sound familiar to you?

Answer 39

no 🙁

Answer 40

I wonder how they expect you to answer this mhmm

Answer 41

So y-intercept is when our line crosses the y-axis

You know what the y-axis is, right?

Answer 42

yes

Answer 43

ok

Answer 44

The y-intercept is when our line crosses the y-axis. And it crosses the y-axis when x = 0.

So look back at your graph. What is the y-value when the line crosses the y-axis

Answer 45

its 0?

Answer 46

Yes!

Answer 47

YAY

Answer 48

Now remember what I said earlier

Equations are in the form of
y = mx + c

that letter c is our y-intercept

and if you said it's 0, then that means all we're left with is

y = mx

(because y = mx + 0 is the same thing as y = mx)

Answer 49

And obviously we should replace the x and y with our p and b

so we should have something like

p = mb

Answer 50

ok im following

Answer 51

We don't need to calculate the slope (unless you want to) because we can eliminate one more answer without having to solve for what number that 'm' (or slope) is

Answer 52

k

Answer 53

So between

p = 9.50 + b
p = 9.50b

Knowing that our equation should be something like p = mb
where m is some number for the slope

what do you eliminate and what's the final answer?

Answer 54

elim A?

Answer 55

yay! you got it!!

Answer 56

yessssss

Answer 57

ty ty TYYYYYYYYYY

Answer 58

It was my pleasure!! Thank you for being a good sport!

Answer 59

thanks for sticking around 🤩

Answer 60

btw i faned u 🙂

Answer 61

Anytime!