Question

The scatter plot shows the length of a spring when a stretch force is applied. The equation represents the linear model for this data.

y = 0.73x + 1



What does the number 1 in the equation mean in this context?

A.The spring requires a force of 0.73 pound to stretch 0.73 inch.

B.The spring stretches a distance of 1 inch when a force of 0.73 pound is applied.

C.The spring will stretch 1 inch for every pound of force applied.

D.The spring has a length of 1 inch when no force is applied.

E.The spring has no stretch when a force of 1 pound is applied.

Answer 1

option: D is correct.

Explanation:

Clearly the y-axis in the following graph or scatter plot represents the Stretch length (in cms) and x-axis denotes the value stretch force (in pounds) i.e. the force applied to the string in pounds.

The number 1 in the equation mean in this context:

That the spring is stretched 1 inch when no force was applied to it.

since the number 1 on the y-axis i.e when x=0 i.e. no force is applied to it.

Hence, option D is correct.

Answer 2

The answer is D. Just like a regular linear equation, that number is what it is at the start before everything. So it is at one before anything happens. Hope this helps :)