The graph shows the number of hours driving and the distance from home: a scatter plot is shown with the title road trip. the x-axis is labeled hours driving, and the y-axis is labeled distance from home. data points are located at 1 and 50, 2 and 125, 3 and 165, 4 and 250, 5 and 300. a line is drawn connecting the coordinate point 1 and 50 to 4 and 250. which statement best describes the relationship between the number of hours driving and the distance from home? as the hours driving increases, the distance from home decreases. as the hours driving increases, the distance from home increases. as the hours driving decreases, the distance from home increases. no relationship can be determined.

B

Step-by-step explanation:

The association is positive linear so that means everything is increasing as the line goes up.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is