Question

Help?

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

But what about the 1 ?

Answer 5

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

Answer 6

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

Answer 7

Yes, we subtracted them? :o

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

see if that makes sense

Answer 13

That does makes sense ! :D

Answer 14

cool :)

Answer 15

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

Answer 16

sure ask :)

Answer 17

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

Answer 18

find m, the rate of change of first

Answer 19

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

Answer 20

those are the given points

Answer 21

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

Answer 22

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

Answer 23

= 7-3 / 1--1
= 4/2
=2

so, m = 2

Answer 24

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

Answer 25

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

plugin values :)

Answer 26

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

Answer 27

Yes !

Answer 28

Yay !!

Answer 29

So is that it ? :o

Answer 30

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

Answer 31

Oh , okay :) Thank you !

Answer 32

slope m = 2, second point (1 , 7)

so m = 2, x1 = 1, y1=7

y-y1 = m(x-x1)

plugin values now

Answer 33

y-7 = 2(x-1)

Answer 34

thats the second equation.

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

Answer 35

It's option 2 ! :)

Answer 36

You helped me understand this ! Thank you :D

Answer 37

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

Answer 38

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

Answer 39

np, i hav time :)

Answer 40

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

Answer 41

Haha okay !! :)

Answer 42

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?

Answer 43

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

Answer 44

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

Answer 45

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

Answer 46

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

Answer 47

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

Answer 48

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

Answer 49

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

Answer 50

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

Answer 51

np :) goodluck wid ur assignment :)

Answer 52

WAITTT ! This one ?? :o

Answer 53

Can you help ? :o

Answer 54

ha, take first equation, and solve x

Answer 55

first equaiton :-

2x+4 = 3x-11

Answer 56

can you solve x ?

Answer 57

Yes, give me a minute :)

Answer 58

take ur time =)

Answer 59

The answer is 3 :)

Answer 60

Second one is 16

Answer 61

I need help solving the last one ...

Answer 62

second one is 16 \(\checkmark \)

Answer 63

but first one is not 3

Answer 64

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

Answer 65

2x+4 = 3x-11

subtract 2x both sides


4 = x - 11

add 11 both sides

15 = x

Answer 66

first one is 15

Answer 67

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

Answer 68

:) i thought so...

third equation :-

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

Answer 69

cross multiply

Answer 70

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

Answer 71

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

\(\large 2(2x+1) = 3(x+6)\)

Answer 72

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

Answer 73

cool :) solve x

Answer 74

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

\(\large 2(2x+1) = 3(x+6)\)

\(\large 4x+2 = 3x+18\)

solve x

Answer 75

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

Answer 76

yes !

Answer 77

Okay one moment !

Answer 78

oki

Answer 79

Is x = -16 ?

Answer 80

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

\(\large 2(2x+1) = 3(x+6)\)

\(\large 4x+2 = 3x+18\)

subtract 3x both sides

\(\large x+2 = 18\)

Answer 81

that gives, x = ?

Answer 82

Oh sorry I subtracted 4x by mistake !

Answer 83

ok.. x = ?

Answer 84

One sec

Answer 85

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

\(\large 2(2x+1) = 3(x+6)\)

\(\large 4x+2 = 3x+18\)

subtract 3x both sides

\(\large x+2 = 18\)

subtract 2 both sides

\(\large x = 16\)

Answer 86

Should be 16 !

Answer 87

x = 16 ! :)

Answer 88

Yay :D

Answer 89

So equations 1 and 3 have the same solution !

Answer 90

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

Answer 91

careful madam, equations 2 and 3 have the same solution

Answer 92

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

Answer 93

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

Answer 94

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