Question

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

Answer 1

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:

$m=\frac{40-45}{3-0}=-\frac{5}{3}$  

 By definition, the line intersects the y-axis when the value of "x" is zero ($x=0$).

Based on the table, the y-intercept is:

$b=45$

Then the equation of the line is:

$y=-\frac{5}{3}x+45$

The line intersects the x-axis when the value of "y" is zero ($y=0$), then you can substitute these value into the equation  and solve for "x":

$0=-\frac{5}{3}x+45\\\\x=27$

So, you get the point:

$(27,0)$

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".

Answer 2

Answer: (27, 0); the distance away from the bus stop