Which equation is an example of a direct variation?

a.) y = 2/3 xz
b.) 2 xy = 12
c.) y = 8/x
d.) 2/3 x = y

(2/3)*x = y is an example of direct variation because it can be rewritten as 2/3 = y/x where if x increases y also increases.

D

Step-by-step explanation:

D is the sole equation that demonstrates direct variation, so long as you meant y = (2/3)x.  This has the form y = kx, where k is the constant of proportionality.

answer: a.   one is a factor of every whole number since every number is divisible by itself.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet