The following table shows the distance from the bus stop as a function of time:

time (in minutes)
x distance (in meters)
f(x)
0 45
3 40
6 35
9 30
12 25

find and interpret the meaning of the x-intercept in this scenario.
(45, 0); the distance away from the bus stop
(27, 0); the time it takes to reach the bus stop
(45, 0); the time it takes to reach the bus stop
(27, 0); the distance away from the bus stop

LAST OPTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

Find the slope of the line with this formula:

Choose two points from the table and substitute the coordinates into the formula. Then, the slope is:

 By definition, the line intersects the y-axis when the value of "x" is zero ().

Based on the table, the y-intercept is:

Then the equation of the line is:

The line intersects the x-axis when the value of "y" is zero (), then you can substitute these value into the equation  and solve for "x":

So, you get the point:

Since the table shows the distance from the bus stop as a function of time, you can conclude that meaning of the x-intercept in this scenario is: "The distance away from the bus stop".