Suppose g (m) varies inversely with M and g (m) = 3.5 when m=10. what is the value of M when g (m) = 5?

In an inverse variation, the function takes the form xy=k

where k is a constant.

Given g (10) = 3.5, we find k=xy=3.5*10=35.

This means the function is

m*g (m) = 35

When g (m) = 5, then m=35/5=7.