If you carry out an experiment measuring the weight and mass of objects in one particular location on the earth, what relation will you find between weight and mass in your measurements? a. they are equal. b. weight is inversely proportional to mass. c. weight is directly proportional to mass.

The answer is letter C.

Weight (on Earth) is the force due to the mass of Earth attracting whatever mass is subject of discussion.

The force of attraction between any two masses is called Newton's Law of Universal Gravitation:



is simply a given constant.

If we're at the surface of Eath,  refers to the mass of the Earth,  to the mass of whatever is on the surface of Earth, and  to the radius of Earth. 

Normally, we define a constant  to be equal to ; in which  is the mass of Earth and the radius of earth; happens to be around 9.8.

By that, we adapt the Law of Universal Gravitation to objects on the surface of Earth, we call that force Weight.



As you can see, weight is directly proportional to mass, more mass implies more weight.