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The scatter plot shows the length of a spring, in inches, when a stretch force, in pounds, is applied. The equation represents the linear model for this data. y = 0.73x + 1 What does the number 0.73 in the equation mean in this context? The spring has a length of 0.73 inch when no force is applied. The spring will stretch 0.73 inch for every pound of force applied. The spring has no stretch when a force of 0.73 pound is applied. The spring stretches at a rate of 0.73 pound per inch. The spring stretches a distance of 1 inch when a force of 0.73 pound is applied.

Sagot :

tenayanelson

the correct answer is: The spring has a length of 1 inch when no force is applied.

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

pretty simple

View image tenayanelson

Using linear function concepts, it is found that the meaning of the slope of 0.73 in this context is that:

  • The spring will stretch 0.73 inch for every pound of force applied.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem, y is the length of the spring, considering a stretch force of x pounds, and the equation is:

[tex]y = 0.73x + 1[/tex]

The slope is of 0.73, which means that, considering what x and y are:

  • The spring will stretch 0.73 inch for every pound of force applied.

You can learn more about linear functions at https://brainly.com/question/24808124

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