Question

Would someone be willing to help me through this problem step by step? It would be greatly appriciated(:

Determine wether the relation shown in the table is a direct variation, an inverse variation, or neither. If it is a direct or inverse variation, write an equation for the function.

x- 10, 15, 20, 25
y- 1/2, 1/3, 1/4, 1/5

Answer 1

@ParthKohli @experimentX @phi @Callisto Anybody help?

Answer 2

notice anything between them?? as x increases, y .. ??

Answer 3

decreases

Answer 4

So what does that mean?

Answer 5

what does imply ... what does direct or inverse mean??

Answer 6

inverse is opposite,? right?

Answer 7

kind of .. yes.

Answer 8

y = 5/x <--- this is how your data fits ... you should know just by observation.

Answer 9

Ok, I'm confused..

Answer 10

@Agent_Sniffles @ash2326 Help?

Answer 11

what's so confusing? inverse means opposite direct means direct ...

Answer 12

Well yeah so is it an inverse variation? And how do I write an equation for the function?

Answer 13

i wrote that up.

write it up as
\[ y = ax^n\]
and find the value of 'a' and 'n' ... which are 5 and -1 as above.

Answer 14

ok so it's y=5x^-1 ?

Answer 15

yeah ..

Answer 16

so it's an inverse variation and the equation is y=5x^-1?

Answer 17

@experimentX ?

Answer 18

yes ...

Answer 19

ok. thank you