Question

If y varies inversely with x and y = 3 when x = 4, what is the value of y when x = 2?
A.1/6
B.y = 2
C.y = 6
D.y = 12

Answer 1

@jdoe0001 can you help me again?

Answer 2

y = kx this is a direct variation, k being a constant of proportion
y = k/x this is an inverse variation. k still being the constant of proportion
do you see the difference?

Answer 3

Yeah, the direct variation is the multiply and the inverse is the divide i think?

Answer 4

Yes. The first step is solve for the k.

You are given that 3 = k/4 can you solve for k?

Answer 5

0.75 if i divide. 12 if i multiply

Answer 6

What divided by 4 equals 3? That is what the equation is saying.

Answer 7

One of your answers is correct.

Answer 8

i multiply both side by 4 i get 12.

Answer 9

Yes, k is 12. Now we can solve the problem

y = 12/2

Answer 10

How to do that?

Answer 11

if i divide 12/2 i get 6y

Answer 12

They have given you the value of x as 2, and you now know k=12 so it is quite easy to solve for y.