If y varies inversely with 2.5x, and y=5.6 and x=30, write an equation to represent this relationship

Let the constant of variation be c.

We are given that y varies inversely with 2.5x, this means that:

y = (c) / (2.5x)

This can be written as:

2.5xy = c

Now, we a re given that y = 5.6 at x = 30.

Substitute with these values in the equation to get the value of c as follows:

2.5xy = c

2.5 (30) (5.6) = c

c = 420

Therefore, the equation that describes the relation is:

2.5xy = 420