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".

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!