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iragen [17]
3 years ago
13

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

Mathematics
2 answers:
valina [46]3 years ago
7 0
<h3>Answer</h3><h3 />

(27,0); the distance away from the school

Rainbow [258]3 years ago
4 0

Answer: last option.

Step-by-step explanation:

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

y=mx+b

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

Find the slope of the line with this formula:

m=\frac{y_2-y_1}{x_2-x_1}

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

m=\frac{32-36}{3-0}=-\frac{4}{3}

 By definition, the line intersects the y-axis when the value of "x" is zero.  So, based on the table, the y-intercept is:

b=36

Then the equation of the line is:

y=-\frac{4}{3}x+36

The line intersects the x-axis when the value of "y" is zero, then  substituting y=0 into the equation of this line, and solving for "x", you get:

0=-\frac{4}{3}x+36\\\\(-36)(-\frac{3}{4})=x\\\\x=27

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

(27,0)

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".

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