Question

when Y=3, x=9, and x varies directly with y, match each value of y with the corresponding value of x

terms: y=5, y=4, y=2, y=6
definitions: x=12, x=18, x=15, x=6
please help

Answer 1

well first translate "x varies directly with y" into mathematical equation

Answer 2

so y=x

Answer 3

there should be a constant somewhere in there

Answer 4

y=x+b?

Answer 5

a constant multiple

Answer 6

"x varies directly with y" translates to ky=x

Answer 7

oh ok now what

Answer 8

find your constant k first

Answer 9

you are given a point on ky=x

Answer 10

when Y=3, x=9, and x varies directly with y
the point being (x=9,y=3)
plug that into ky=x to find k

Answer 11

k3=9

Answer 12

solve for k

Answer 13

3+3=9 so k=3?

Answer 14

well 3+3 doesn't equal 9
but 3(3)=9
so k=3 since k=9/3

Answer 15

\[3y=x\]

Answer 16

yea sorry so how do I figure out the answers

Answer 17

now plug in your y's to match the x's you are given to them

Answer 18

I see if I can multiply the 3 by the x's to equal y? so 3*5

Answer 19

3y=x
you are replace y with y not y with x
you are multiply the y's by 3

Answer 20

so the other way around

Answer 21

terms: y=5, y=4, y=2, y=6
take all these things called y and multiply it by 3
just like the equation 3y=x says to

Answer 22

oh ok thx I understand now