Question

The value of y varies directly with x. What is k the constant of variation for this function, and what is y for the given value of x?
y = -1/2 when x = 6. Find y when x = -3

Answer 1

y = kx
k = y/x .............(1)
To find the value of k, substitute -1/2 for y and substitute 6 for x in equation (1)

Answer 2

k = -1/2 right?

Answer 3

No. You need to simplify the following:
\[k=\frac{y}{x}=\frac{-\frac{1}{2}}{6}\]

Answer 4

woops i meant -1/12

Answer 5

Correct! Good work. Can you do the second part now?

Answer 6

\[y=-\frac{x}{12}\]

Answer 7

youd take y = -1/12(-3) and get 1/4?

Answer 8

Correct again! Well done :)

Answer 9

thanks so much (:

Answer 10

You're welcome :)