Question

Find the constant of variation in the inverse relation below.
X | Y
2 | 5
4 | 2.5
5 | 2
6 | 5/3

A. 1/10
B. 1/3
C. 3
D. 10

Answer 1

@sleepyjess @Compassionate @dan815 Please HELP!

Answer 2

@TheSmartOne

Answer 3

http://media.education2020.com/evresources/2003-20-04-00-00_files/i0150000.jpg

Answer 4

\(\large {
\begin{array}{llll}
x&y
\\\hline\\
2&5\\
4&2.5\\
5&2\\
6&\frac{5}{3}
\end{array}
\\ \quad \\

\begin{array}{llllll}
\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\
\textit{something}&=&\cfrac{{\color{brown}{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\
y&=&\cfrac{{\color{brown}{\textit{n}}}}{}&\cfrac{}{x}
\\\hline\\
&&y=\cfrac{{\color{brown}{ n}}}{x}
\end{array}
\\ \quad \\
\textit{we know that when }x=5\qquad y=2\implies 2=\cfrac{{\color{brown}{ n}}}{5}
}\)

solve for "n", or "constant of variation"

Answer 5

My result is 0.4=N , i divide both side by 5.

Answer 6

@jdoe0001

Answer 7

ok let us do that

Answer 8

How?

Answer 9

or better yet.. let us check

if n = 0.4
then say \(\bf x=5\qquad y=\cfrac{n}{5}\implies y=\cfrac{0.4}{5}\implies y=0.08
\\ \quad \\
0.08\ne 2\)

recall that when x = 5, y = 2

but using 0.4 for "n", didn't really give us 2 for "y"

Answer 10

I'm confuse :(

Answer 11

well.. you said n = 0.4

but using 0.4 for the "n" value in the inverse variation
didn't yield 2
if we plug x = 5
we should get y = 2

but instaed we've got 0.08

so \(\Large n\ne 0.4\)

Answer 12

\(\bf \textit{we know that when }x=5\qquad y=2\implies 2=\cfrac{{\color{brown}{ n}}}{5}\)

so... what do you think is "n"?

Answer 13

1/10?

Answer 14

1/10?

well.. if you cross-multiply \(\bf 2=\cfrac{{\color{brown}{ n}}}{5}\) what does that give for "n"?

hint: multiply both sides by 5

Answer 15

10

Answer 16

there you have it then
\(\bf \textit{we know that when }x=5\qquad y=2\implies 2=\cfrac{{\color{brown}{ n}}}{5}\implies 10={\color{brown}{ n}}\)

"n" or the "constant of inverse variation" is 10 :)

Answer 17

Thanks for the help :))

Answer 18

yw