The length, in centimeters, of the spring with no weight attached
The weight, in newtons, of an object that will stretch the spring centimeters
The increase in the weight, in newtons, of the object for each one-centimeter increase in the length of the spring
The increase in the length, in centimeters, of the spring for each one-newton increase in the weight of the object
Explanation
Correct answer: D.
Choice D is correct. The value is multiplied by , the weight of the object. When the weight is , the length is centimeters. If the weight increases by newtons, the length increases by centimeters, or centimeters for each one-newton increase in weight.
Desmos solution:
Note: The 2 is the coefficient of w, so it represents the increase in length per one-newton increase in weight.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect because this describes the value .
Choice B
Choice B is incorrect because represents the length of the spring before it has been stretched.
Choice C
Choice C is incorrect because this describes the value .