the gravitational force, F, between two bodies is inversely proportional to the square of the distance d between them

Question

 Write a formula representing the function

Answer 1

Inversely proportional to means that we expect the format to be F = k/(something), where k is a constant.  Since it's inversely proportional to the distance squared, then we know that:

 

F = k/d²

 

where k is some constant.  This compares well with the complete gravitational formula, which is:

 

F = Gm₁m₂/d²

 

where G is the universal gravitational constant and m₁, m₂ are the two masses.