Write an equation for thr direct variation

Question

If y=6 when x=24, what is the value of x when y=7?

Answer 1

Direct variation means that

 

y = kx, k = a constant

 

To find k, use

 

6 = k*24 ⇒ k = 6/24 = 1/4

 

Then y = (1/4)x

 

For x = 7,

 

y = (1/4)*7 = 7/4