Respuesta :
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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