Help?

- anonymous

Help?

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- anonymous

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- ganeshie8

average rate of change = change in y / change in x

- ganeshie8

you're going from x=3 to x=5
so, chang ein x = 5-3 = 2

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## More answers

- ganeshie8

do u knw how to find change in y, from the given table ?

- anonymous

But what about the 1 ?

- anonymous

And no , all of this is confusing to me :(

- ganeshie8

its okay to get confuse when u start... did u get how we got the change in x ?

- anonymous

Yes, we subtracted them? :o

- ganeshie8

yes, now look at table.
and tell me wats the y value, when x = 5
and when x = 3

- anonymous

When x=5 , the y value is -2 . When x=3 , the y value is 4

- ganeshie8

excellent !
so change in y = -2-4 = -6

- ganeshie8

average rate of change = change in y / change in x
= -6/2
= -3

- ganeshie8

see if that makes sense

- anonymous

That does makes sense ! :D

- ganeshie8

cool :)

- anonymous

Thank you so much, I have a few more questions? Would you be willing to help?

- ganeshie8

sure ask :)

- anonymous

I will attach it as a picture so it will be easier :)

##### 1 Attachment

- ganeshie8

find m, the rate of change of first

- ganeshie8

(-1, 3) and (1 , 7)

- ganeshie8

those are the given points

- ganeshie8

(-1, 3) and (1 , 7)
x1 y1 x2 y2

- ganeshie8

rate of change , m = change in y / change in x
= y2-y1 / x2-x1

- ganeshie8

= 7-3 / 1--1
= 4/2
=2
so, m = 2

- anonymous

Right :) I'm working it out on paper with you :P

- ganeshie8

now, use this :-
equation of line in slope, point form is,
y - y1 = m(x-x1)
plugin values :)

- anonymous

That would be y - 3 = 2 (x - (-1)) ?

- ganeshie8

Yes !

- anonymous

Yay !!

- anonymous

So is that it ? :o

- ganeshie8

not yet, thats one equation. we could have used the second point aswell... let me do it for you :)

- anonymous

Oh , okay :) Thank you !

- ganeshie8

slope m = 2, second point (1 , 7)
so m = 2, x1 = 1, y1=7
y-y1 = m(x-x1)
plugin values now

- ganeshie8

y-7 = 2(x-1)

- ganeshie8

thats the second equation.
now see which one exists in the given options , and tick that one...

- anonymous

It's option 2 ! :)

- anonymous

You helped me understand this ! Thank you :D

- ganeshie8

Yes ! takes time to master these... i see you're already getting good at these :)

- anonymous

I have 3 more questions left and 2 are easy , once I answer those may you help me with the very last question ?? Pleasee :p

- ganeshie8

np, i hav time :)

- ganeshie8

just holler when u r done wid the two prblms... ;)

- anonymous

Haha okay !! :)

- anonymous

Okay here's the last question :)
Jack and Jill had 3 pails of water. Each trip up the hill, Jack and Jill obtained 1 more bucket of water. Which of the graphs below represents Jack and Jill's number of pails over time?

- ganeshie8

check ur 3rd & 4th graphs. they are same !

- anonymous

That's how it is on my quiz :( It's probably an error ... Is there anyway to do this and figure out the answer and see if it's on one of the graphs ? If not , I don't think my teacher will deduct points for the question being incorrect lol

- ganeshie8

ohk, but wat wud u pick whe u have two exact same graphs ?

- anonymous

Ugh I'm just going to chose an answer and tell my teacher there was an error with the questions . Thank you though :)

- ganeshie8

good :)
here is how we solve it :-
since to start with, they have 3 pails of water, that means, the line must cit the y- axis at 3

- ganeshie8

since the line is cutting y-axis at 3 only in 3rd & 4th graphs, one of them must be ur answer

- ganeshie8

and since, both graphs are exact same, u toss a coin and pick one

- anonymous

Haha okay :) Thank you so much for your help :)

- ganeshie8

np :) goodluck wid ur assignment :)

- anonymous

WAITTT ! This one ?? :o

##### 1 Attachment

- anonymous

Can you help ? :o

- ganeshie8

ha, take first equation, and solve x

- ganeshie8

first equaiton :-
2x+4 = 3x-11

- ganeshie8

can you solve x ?

- anonymous

Yes, give me a minute :)

- ganeshie8

take ur time =)

- anonymous

The answer is 3 :)

- anonymous

Second one is 16

- anonymous

I need help solving the last one ...

- ganeshie8

second one is 16 \(\checkmark \)

- ganeshie8

but first one is not 3

- anonymous

It's not ? :( What's the first one ?

- ganeshie8

2x+4 = 3x-11
subtract 2x both sides
4 = x - 11
add 11 both sides
15 = x

- ganeshie8

first one is 15

- anonymous

Ohhhhh ! I know what I did wrong ! I added 3x and 2x by mistake ! haha

- ganeshie8

:) i thought so...
third equation :-
\(\large \frac{2x+1}{3} = \frac{x+6}{2}\)

- ganeshie8

cross multiply

- anonymous

How would I start ? :( I'm no good in cross multiplying ..

- ganeshie8

\(\large \frac{2x+1}{3} = \frac{x+6}{2}\)
\(\large 2(2x+1) = 3(x+6)\)

- anonymous

Omg that makes sense -.- ! Okay I understand now !

- ganeshie8

cool :) solve x

- ganeshie8

\(\large \frac{2x+1}{3} = \frac{x+6}{2}\)
\(\large 2(2x+1) = 3(x+6)\)
\(\large 4x+2 = 3x+18\)
solve x

- anonymous

4x + 2 = 3x + 18 ? Then solve ?

- ganeshie8

yes !

- anonymous

Okay one moment !

- ganeshie8

oki

- anonymous

Is x = -16 ?

- ganeshie8

\(\large \frac{2x+1}{3} = \frac{x+6}{2}\)
\(\large 2(2x+1) = 3(x+6)\)
\(\large 4x+2 = 3x+18\)
subtract 3x both sides
\(\large x+2 = 18\)

- ganeshie8

that gives, x = ?

- anonymous

Oh sorry I subtracted 4x by mistake !

- ganeshie8

ok.. x = ?

- anonymous

One sec

- ganeshie8

\(\large \frac{2x+1}{3} = \frac{x+6}{2}\)
\(\large 2(2x+1) = 3(x+6)\)
\(\large 4x+2 = 3x+18\)
subtract 3x both sides
\(\large x+2 = 18\)
subtract 2 both sides
\(\large x = 16\)

- anonymous

Should be 16 !

- ganeshie8

x = 16 ! :)

- anonymous

Yay :D

- anonymous

So equations 1 and 3 have the same solution !

- ganeshie8

yes !
so we got,
first one, x = 15
second one, x = 16
third one, x = 16

- ganeshie8

careful madam, equations 2 and 3 have the same solution

- anonymous

THANK YOU THANK YOU THANK YOU !! :) & yes I got confused haha but now i get it :)

- ganeshie8

glad to hear that :) you're wlcme !!

- anonymous

Are you willing to help me out with 4 more questions ? And that it for the day !! Haha

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