The scatterplot shows the distance (in feet) that a person was from a motion sensor during an experiment in math class. Use the labeled points to create a linear model. About what distance in feet (y) would a person be 8 seconds after the experiment begins?

A.) 21ft
B.) 27ft
C.) 30ft
D.) 57ft

The scatterplot shows the distance in feet that a person was from a motion sensor during an experiment in math class Use the labeled points to create a linear m class=

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Answer:

B.) 27ft

Step-by-step explanation:

The labeled points given: (5,18) and (1.5, 7.5)

Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3

A linear model:

y - 18 = 3(x - 5)

y - 18 = 3x - 15

y = 3x + 3

If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)

y = 3(8) + 3

y = 24 + 3

y = 27 ft

Answer:

B.) 27ft

A person would be at a distance of 27 feet, 8 seconds after the experiment begins.

What is a scatter plot?

A scatter plot diagram is a graph in which the coordinates of a point are marked and the regression or correlation between these points is observed.

A linear model for the given scatter plot can be made as shown below:

The labeled points that are given are (5,18) and (1.5, 7.5)

m = Slope of the given scatter plot = (18 - 7.5)/(5 - 1.5)

= 10.5 / 3.5

= 3

The linear model of the scatter plot can be found by substituting the values of x and y using the labelled coordinates.

y - y_1 = m( x - x_1 )

y - 7.5 = 3(x - 1.5)

y - 7.5 = 3x - 4.5

y = 3x - 4.5 + 7.5

y = 3x - 3

The value of x is given as 8. Substitute x in the equation above:

y = 3(8) + 3

y = 24 + 3

y = 27 feet

Therefore, a person would be at a distance of 27 feet, 8 seconds after the experiment begins. The correct answer is option B.

Learn more about scatter plots here: https://brainly.com/question/6592115

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