Question

If y varies directly as x, and y = 2 when x = 8, then the constant of variation is

Answer 1

Answer: 1/4

Explanation:

y=2

x=8

two-eights = k

simplify = one-fourth

Answer 2

y vaires directly as x means
y=kx
where k is a constant
y=2 and x=8
2=8k
divid by 8
2/8=k=1/4

y=(1/4)x
constant of variation is 1/4