determine whether each is inverse or direct variation

x/y=27
it costs $30 per piano lesson
y/x= -42
The cost per fitness class at a gym that costs $13 a month with unlimited classes included.
5y=x

In the given equations:

1) x/y = 27 - This is a direct variation. As y increases, x also increases, maintaining a constant ratio of 27.

2) It costs $30 per piano lesson - This is neither inverse nor direct variation. The cost does not depend on any other variable or ratio.

3) y/x = -42 - This is an inverse variation. As y increases, x decreases, maintaining a constant product of -42.

4) The cost per fitness class at a gym that costs $13 a month with unlimited classes included - This is neither inverse nor direct variation. The cost per class does not depend on any other variable or ratio.

5) 5y = x - This is a direct variation. As y increases, x also increases, maintaining a constant ratio of 5.