Question

the amount of stretch of a hanging spring versus the mass attached to the bottom of the spring was measured for different masses. the results are shown in the table.
what is the constant of proportionality between the mass and the amount of stretch?
0.5 centimeters per gram
0.5 grams per centimeter squared
2 centimeters per gram
2 grams per centimeter squared

Explanation:

Step1: Calculate the ratio for each pair

For the first pair: \( \frac{4}{2} = 2\)
For the second pair: \( \frac{8}{4}=2\)
For the third pair: \( \frac{16}{8} = 2\)
For the fourth pair: \( \frac{20}{10}=2\)

Answer:

2 grams per centimeter squared