Question

find the variation constant and an equation of variation where y varies directly as x, y=30 when x =6

Answer 1

y=kx

30=k(6)

30/6 = k

5 = k

k = 5


So the variation constant is k = 5 and the equation of variation is y = 5x

Answer 2

thank you, i was lost.

Answer 3

To show this, plug in x = 6 to get

y = 5x

y = 5(6)

y = 30

So when x = 6, y = 30


This verifies our answer