Question

V varies inversely with T and V = 12 when T = 6. Which equation shows this relationship?



A.


V = 72T


B.




v=72/t


C.


V = 2T


D.




v=2/t

Answer 1

The general equation for inverse variation is:

If y varies inversely with x, then

\(y = \dfrac{k}{x} \)

Answer 2

In your case, V varies inversely with T, so use V instead of y and T instead of x in the equation above. Keep k as it is.

What do you get?

Answer 3

12=k/6

Answer 4

so the answer is b

Answer 5

You are one step ahead of me.
All I meant was for you to write

\(V = \dfrac{k}{T}\),

but you are already at the next step which is to replace V and T with the given values so you can calculate k.

\(12 = \dfrac{k}{6} \)

Now you need to solve for k.

Answer 6

\(k = 72\)

\(V = \dfrac{72}{T}\)

You are correct.

Answer 7

thank you very much.

Answer 8

You're welcome.

Answer 9

and can you help me with some others that i'm going to post?