If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n? 6 18 30 36

Direct variation is of the form y=kx, where k is the constant of variation, which we can express as:

k=y/x  we are given two points 

k=180/n  and k=n/5, since k=k we can say:

n/5=180/n  multiply both sides by n

n^2/5=180  multiply both sides by 5

n^2=900

n=√900

n=30