Question

Fan+Medal
Each pair of points is on the graph of an inverse variation. Find the missing value.

(50, 13) and (t, 5)

t = 25
t = 75
t = 110
t = 130

Answer 1

@Secret-Ninja @ganeshie8 ?

Answer 2

well, the inverse variation looks like:

\(\Large\color{black}{ y=\frac{k}{x} }\) so for example, if I had 2 points: (8,1) and (4,w) then to find w this is what I do:

1) Find the k, by plugging in the given point:

\(\Large\color{black}{ 8=\frac{k}{1} }\)

\(\Large\color{black}{ k=8 }\)

2) re-write the variation, and plug in the second point with a w.

\(\Large\color{black}{ y=\frac{8}{x} }\)

(re-wrote it now plugging in)

\(\Large\color{black}{ 4=\frac{8}{w} }\)

\(\Large\color{black}{ 4w=8 }\)

\(\Large\color{black}{ w=2 }\)

Answer 3

I'm still thoroughly confused...But i'll manage lol. :D

Answer 4

well:
- write the equation for the inverse variation:
- plug in your point (10,13)
- solve for k
- re-write the inverse variation but with the new value of k that you found.
- then plug your point (t,5) into this (new) inverse variation, (with a found k)
- solve for t