Question

identify the point of intersection, using one of the following methods: Elimination, subsitiution, graphing X starts at 0 and goes up by 10 each rep for up to 15 reps To find y for the first its .4(X)+50 To find y for the second line its 4.4(X)+0

Answer 1

what is rep?

Answer 2

repetition so it goes up by 10 15 times

Answer 3

so are you saying the equations are:
y=.4x+50
and
y=4.4x
?

Answer 4

yes

Answer 5

ok yes so i don't have to read that rep stuff lol

Answer 6

idk but its within 8-12 bottles

Answer 7

yes its 10 bottles bottles are the item we are making a graph on and x = bottles

Answer 8

no its not ten =0

Answer 9

just set 4.4x=.4x+50
4.4x-.4x=50
4x=50
x=50/4
x=25/2
so
y=4.4x=4.4(25/2)=44/10(25/2)=22/5(25/2)=5(11)=55
so they intersect at (25/2,55)

Answer 10

what?

Answer 11

hey derp u just saw my question bt i asked u something can u please answer me please

Answer 12

to find where they intersect all i did was set the two lines equal to each other
i want to find the x when the two lines are the same (so the equal sign means that)
and i solved for x
and then it didn;t matter which line i used after that to find y
both lines would give me the same y

Answer 13

yes i just replaced that one y with y=4.4x
substitution

Answer 14

would i get full credit for expaining work also what is the function of the two

Answer 15

in the directions about it said to find the intersection it is (25/2,55)
i don't know what you mean by the function of the two?

Answer 16

ok its function for 1st line and function for 2 and if the points matter two of them from each are (1) 10,52 20,54
(2) 10,44 20, 88

Answer 17

hey derp answer me please

Answer 18

ok while hes looking at mine ill help u

Answer 19

wait are you saying for the first line the some of the ordered pairs are {(10,52),(20,54)}
2nd line {(10,44),{20,88)} ?

Answer 20

by the scale they gave us these are for each 10 bottles but for the second part which i started the question it is ok because plugin them into a graph got around what you said.

Answer 21

we were told to go by 10

Answer 22

the above are some of the ordered pairs on the line right?
you are trying to get me to check your lines, correct?

Answer 23

the function is what im clueless about and i think it has some relation with that right?

Answer 24

are the following ordered pairs on a line: (10,52) and (20,54)
are the following ordered pairs on the other line: (10,44) and (20,88)?

Answer 25

yes

Answer 26

So?

Answer 27

ok
so since we know two points on the first line, the slope is \[\frac{54-52}{20-10}=\frac{2}{10}=\frac{1}{5}\]
so we have y=1/5*x+b
we need to know the y-intercept which we are calling b in the line before
we know a point on the line (10,52)
x=10 and y=52
so
52=1/5*10+b
we can solve for b
52=2+b
50=b
so the equation of line 1 is y=1/5*x+50
now second line we know two points on it as well so we can find the slope
the slope is \[\frac{88-44}{20-10}=\frac{44}{10}=\frac{22}{5}\]
so we have y=22/5*x+b
we know a point on this line so we can find the y-intercept which we called b in the line before
x=10
y=44
44=22/5*10+b
so we can solve for b
44=22(2)+b
44=44+b
b=0
so the equation of the line is y=22/5*x

Answer 28

so we have Line 1: y=1/5*x+50
and Line 2: y=22/5*x
22/5*x=1/5*x+50 (by substitution)
22/5*x-1/5*x=50
21/5*x=50
x=50*5/21
x=250/21

Answer 29

so y=22/5*250/21=1100/21

Answer 30

so the 25/2,55 changed?

Answer 31

so the point of intersection is (250/21,1100/21)

Answer 32

yes we have different lines so the point of intersection will be different

Answer 33

are you sure its not closer because on the graph i made its near the start

Answer 34

?
i found the lines by the ordered pairs you gave me
those ordered pairs lie on those two lines right
with (10,52) and (20,54) lying on one line and
with (10,44) and (20,88) lying on the other?

Answer 35

yea but 10 is 10 of x you can plug 1,2,3,- 150