Question

determine whether y varies directly with x. If so, find the constant of variation k and write the equation
X
6
18
54
162

Y
24
72
216
648
Options
A-yes, K=4;y=4x
B-yes,K=3;y=3x
C-yes,K=6;y=6x
D-no
Please show work
Please help me

Answer 1

what is the ratio of the corresponding terms in each coordinate ,

Answer 2

X Y
6 24
18 72
54 216
162 648

\[(x_1,y_1)=(6,24)\]\[(x_2,y_2)=(18,72)\]\[\dots\]

\[(x_n,y_n)=(x_n,\alpha x_n)\]

\[y(x)\propto x\]
\[y(x)=\alpha x\]

Answer 3

i need help please help me

Answer 4

What exactly is the type of mathematics are you doing? Algebra 2? Pre-Calc?

Answer 5

algebra 2

Answer 6

XD.... sorry..... I'm only 13, and I am completing geometry this summer so I can skip ahead to Algebra 2 in about 3 1/2 weeks. Sorry, but I can't help you in this situation.... I apologize for this.....

Answer 7

maybe someone else of a higher education could explain, or at least, brief us on this problematic conundrum....

Answer 8

a point is \((x_1,y_1)=(6,24)\)

\[y_1(x_1)=\alpha x_1\]

what is alpha/

Answer 9

i dont kno

Answer 10

\[24=\alpha\times6\]

Answer 11

thanks for the medal anikate

Answer 12

no problem, it's a good question

Answer 13

@sami-21

Answer 14

@Agent_Sniffles

Answer 15

sry gtg my mom wants me to vacum the living room

Answer 16

@AccessDenied

Answer 17

its ok

Answer 18

very sry I couldnt help you

Answer 19

np

Answer 20

try to look up youtube vides they really helped me

Answer 21

i tried that already

Answer 22

ohh... then sry I dont know what to say :(

Answer 23

try posting the question in an easier understandable way?

Answer 24

but that is the only way i can

Answer 25

@hereweg0

Answer 26

@Bambi
@SmoothMath
@timmtamm96
i need help

Answer 27

please read what i have posted above @tabbycat737

Answer 28

i kno i read that but i dont understand the rest

Answer 29

iff y varies directly with x
we can wright
\[y\propto x\]\[y=\alpha x\]
where alpha is the constant of variation

Answer 30

if y varies directly with x

\[y=αx\]
\[y_1=\alpha x_1\]\[y_2=\alpha x_2\]etc

Answer 31

the table shows \(x_n\)'s and their corresponding \(y_n\)'s,

try subbing in a point \((x,y)\) for the table to the direct variation equation

Answer 32

ill try

Answer 33

still lost with this one

Answer 34

what are some points in the function?

Answer 35

ther are 18 and 72 ther is 54 an 216 ther is 162 and 648