choose whether each situation represents a direct variation or inverse variation

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

The situations can be classified as follows:

- Direct variation: x/y = 27 (Since y is directly proportional to x)
- Direct variation: it costs $30 per piano lesson (The cost is directly proportional to the number of piano lessons)
- Inverse variation: the cost per fitness class at a gym that costs $13 a month with unlimited classes included (Since the number of fitness classes and the cost per class are inversely proportional)
- Inverse variation: 5y = x (Since y is inversely proportional to x)
- Inverse variation: y/x = -42 (Since y is inversely proportional to x)