The value y varies directly with x. which function represents the relationship between x and y if y=20/3 when x=30?

If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:

y = mx + b

y = mx

where m is the slope of the line, now we plug in the data we have:

y = mx

20/3 = m (30)

solving for m:

m = (20/3) (1/30)

m = 20/90

m = 2/9

so the line equation, or function modeling the y and x relationship is:

y = (2/9) x