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A company produces items in small batches the machinery needs to warm up before the atom can be produced the scatterplot shows the time needed to produce batches of different numbers of items

A Company Produces Items In Small Batches The Machinery Needs To Warm Up Before The Atom Can Be Produced The Scatterplot Shows The Time Needed To Produce Batche class=

Sagot :

Calebrichard

Answer: B. It takes about 20 minutes for the equipment to warm up

Step-by-step explanation:

Took the quiz

The true statement is 'It takes about 20 minutes for the equipment to warm up.'

The correct answer is an option (B)

What is the line of the best fit?

"It is a line through data points that best expresses the relationship between those points."

What is y-intercept?

"It is the points at which the graph of function intersects the Y-axis."

What is the slope of the line?

  • "It is the change in y coordinate with respect to the change in x coordinate."
  • "The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"

What is the slope-intercept form of the line?

"The slope-intercept form of the line, y = mx + b where m is the slope and b is the y-intercept."

For given question,

From the scatter plot, the line of the best fit passes through the points   (3, 44) and (5, 60)

We find the slope of the line of best fit.

Let [tex](x_1,y_1)=(3,44),(x_2,y_2)=(5,60)[/tex]

Using slope formula,

[tex]\Rightarrow m=\frac{y_1-y_1}{x_2-x_1}\\\\\Rightarrow m=\frac{60-44}{5-3} \\\\\Rightarrow m=\frac{16}{2}\\\\ \Rightarrow m=8[/tex]

Also, the Y-intercept of the line of best fit is 20.

Using the slope-intercept form, the equation of the line of best fit would be,

y = 8x + 20

From this equation we can say that,

As the number of items in a batch is increases by 1, the production time increases by 8 minutes and it takes about 20 minutes for the equipment to warm up.

Therefore, the correct statement is 'It takes about 20 minutes for the equipment to warm up.'

The correct answer is an option (B)

Learn more about the line of best fit here:

https://brainly.com/question/14279419

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