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

time (in minutes)
x distance (in meters)
f(x)
0 36
3 32
6 28
9 24
12 20

find and interpret the meaning of the x‐intercept in this scenario.
(36, 0); the distance away from the school
(27, 0); the time it takes to reach the school
(36, 0); the time it takes to reach the school
(27, 0); the distance away from the school

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.  So, 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  substituting into the equation of this line, and solving for "x", you get:

So, the point of intersection with the x-axis is:

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

dhdhth

step-by-step explanation: