Final answer:
The term in the gravity model represented as k, which ensures the interaction numbers are correct, is known as the Proportional Constant (D). It is used in Newton's universal law of gravitation, where the gravitational force is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.
Step-by-step explanation:
In the gravity model, the correct term represented as k and identified as a mathematical constant for interaction numbers is the Proportional Constant (D). This constant is important in the formulation of the gravitational force. The gravitational force between two objects is indeed directly proportional to the product of their masses and inversely proportional to the square of the distance between them, as stated by Newton's universal law of gravitation.
This law can be expressed as F = G*(m1*m2)/r², where F is the gravitational force, m1 and m2 are the masses of the two objects, r is the distance between the centers of the two objects, and G is the gravitational constant. The universal gravitational constant G has the experimentally measured value of 6.673 × 10⁻¹¹ N·m²/kg² and is indeed thought to be the same everywhere in the universe.