Question

question 7 (4 points)
(01.06 mc)
a graph of a relationship is shown.
stretch vs. force
which of the following best describes the relationship between the two variables?
a stretch is directly related to force
b stretch is inversely related to force.
c force is directly related to the square of stretch.
d force is inversely related to the square of stretch.

Explanation:

Step1: Analyze the graph shape

The graph is a straight - line passing through the origin. For a straight - line graph passing through the origin, the two variables are directly proportional. In the context of the graph of "Stretch vs. Force", as the force increases, the stretch also increases in a linear fashion.

Step2: Recall relationship definitions

Directly related variables follow the form \(y = kx\) (where \(y\) and \(x\) are variables and \(k\) is a non - zero constant). Inversely related variables follow the form \(y=\frac{k}{x}\), and a variable directly related to the square of another follows \(y = kx^{2}\), and inversely related to the square follows \(y=\frac{k}{x^{2}}\).

Answer:

A. Stretch is directly related to force