Question

http://gyazo.com/a7a10ba4e1dd2c1dc01007e7ae77b446

Answer 1

@jdoe0001

Answer 2

for one thing doens't look like a straight line

do you know what a direct variation is?

Answer 3

yea isnt it where you have like a table and its like
1 5
2 10
3 15
where they increase?

Answer 4

well yes
say for example y = 2x

so any "x" we pick, "y" will be twice that much so and thus the "constant of variation" will be the number 2

because "x" is being multiplied by 2 to get "y"

Answer 5

on the opposite side of the spectrum

if instead "y" DECREASED based on whatever "x" is, then the equation is more like say
y = 2/x so and the "constant" of variation there will be the number above "x"

Answer 6

in the graphic you have, is not a straight line

but notice as "x" moves over to the right, "y" is taking a dive, going down

so is an INVERSE variation, not a direct one, and thus \(\bf y=\cfrac{{\color{brown}{ n}}}{x}\implies y\cdot x={\color{brown}{ n}}\)

Answer 7

so in the graph, you have 4 points, each with a x,y pair

check their likely "constant of variation" or n, by simply multiplying both x * y in each point

Answer 8

like 36 * 2
24 * 3
18 *4
12* 6

there'll be some likely common value we could use and call it the "constant of variation"

Answer 9

hmm well... actually the line is indeed straight.. the graph is just deceiving

Answer 10

\(\begin{array}{cccllll}
\textit{something }&\textit{varies inversely to }&\textit{something else}\\ \quad \\
\textit{something }&=\cfrac{{\color{red}{ \textit{some value }}}}{\textit{something else}}\\ \quad \\
y&=\cfrac{{\color{red}{ n}}}{x}
&&\implies y=\cfrac{{\color{red}{ n}}}{x}
\end{array}\)

Answer 11

ok thank you so much!

Answer 12

yw

Answer 13

as you can see, is 72, and thus the function is just \(\bf y=\cfrac{{\color{brown}{ 72}}}{x}\)