Question

Function: y = 6x
Number of packages (x) Number of pencils (y)
1 6
2 12
3 18

Use graph paper to graph the points in the function table. Then extend the graph to find the number of pencils in 6 packages.
@myininaya only please.

Answer 1

OR @amistre64

Answer 2

howdy

Answer 3

hey this is my son. he needs to understand this not just the answer. I have not been able to get it through to him and myin said you might be able to.

Answer 4

Not just the answers please.

Answer 5

that wasnt just the answers; that was a guide to get to the answers ....

Answer 6

He is having trouble understanding x and y coordinates. Oops sorry.

Answer 7

then let him interact

Answer 8

Here he is

Answer 9

Nate, I have to know what about x and y coordinates you are confused about

Answer 10

hi

Answer 11

hi, is your confusion in finding x and y values? or actually plotting them on a graph?

Answer 12

i amconfused about ploting the points an how to find the x and y coordinbates for a point.

Answer 13

usually, to find the numbers for the points, we can use any values of "x" that make sense.

x does not depend on anything but whats allowed to be used.

the number for y tho depends on x for its value depending on the rule (the equation) that defines y

Answer 14

in this problem it says we let x equal numbers that we can count like: 1,2,3,4,5,6,...

does that make sense?

Answer 15

yes

Answer 16

good, this problem also tells us that for any value of x that we can think of; we can define a value for y. y equals 6 times "x"

y = 6x

so if i say x = 3, what will y equal? y = 6 times 3

if i say x = 7, what will y equal? y = 6 times 7

does that make sense?

Answer 17

y=6 times 7

Answer 18

if i say; x = 4 ; what would you say y would equal?

Answer 19

y

Answer 20

y=6

Answer 21

y equals 6 times "x"

if i say x=4; what does y equal? you have to finish it out ...

Answer 22

y equals 6 times4

Answer 23

thats right; y = 6 times 4; which is the same as y = 24

lets change the value of x; but y equals 6 times "x"

if I say x = 6; what does y equal?

Answer 24

y = 36

Answer 25

very good; do you see that the value for "x" can change; and that the value for "y" changes with it according to the rule, the equation that was defined?

Answer 26

yes

Answer 27

we can write up a table to help us keep track of these changing values

when x = 1 ; then y = 6(1) = 6
when x = 2 ; then y = 6(2) = 12
when x = 3 ; then y = 6(3) = 18
when x = 4 ; then y = 6(4)
when x = 5 ; then y = 6(5)
when x = 6 ; then y = 6(6)

right?

Answer 28

yes

Answer 29

math people like to make up ways of writing things in a short manner; so this table is not something they actually WANT to make. so they develop a notation:

(x,y) this tells us that for each value of "x", y will equal its value

(1,6)
(2,12)
(3,18)
(4,24)
etc ....

this tells us the same information as the table does; which is the same information that working it out above did.

we can use these point notation to plot on a graph with

Answer 30

does the notation make sense to you now?

if I say (5,30) ; what is the value for x? what is the value for y?

thats beeter

Answer 31

idont get it

Answer 32

if you understand the table we made; all this notation does is make information in the table smaller, more compact.

Answer 33

do you understand the information in the table we made?

Answer 34

yes

Answer 35

then you need to look at this and compare how we can write the table using the
(x,y) notation. Because unless this makes sense to you; you are not going to be able to read points onto a graph.
(x,y)
when x = 1 ; then y = 6(1) --> (1,6)
when x = 2 ; then y = 6(2) --> (2,12)
when x = 3 ; then y = 6(3) --> (3,18)
when x = 4 ; then y = 6(4) --> (4,6(4))
when x = 5 ; then y = 6(5) --> (5,6(5))
when x = 6 ; then y = 6(6) --> (6,6(6))

Answer 36

i understand

Answer 37

good, becasue the rest of this will just be using this information to draw a picture with; but im out of time ...

Answer 38

good luck, and good night :)

Answer 39

good night and thankyou

Answer 40

Thanks amistre