A transportation engineer wants to determine the number of vehicles that drive through an intersection on a given day. The following table shows the total number of vehicles that drove through the intersection over a 10-hour period. The transportation engineer determines that the linear function that best models the data is, y = -16.7333 + 52.7515x where y represents the total number of vehicles that drove through the intersection and x represents the number of hours. The following graph shows the residuals for this function.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.