Question

the units of the subway map below are in miles. suppose the routes between stations are straight. find the approximate distance a passenger would travel between stations j and k. the distance from station j to station k is approximately miles. (round to the nearest tenth as needed.)

Explanation:

Step1: Identify coordinates

Assume Station J has coordinates $(x_1,y_1)$ and Station K has coordinates $(x_2,y_2)$. From the graph, if we assume the grid - based coordinates, say J is at $(1,7)$ and K is at $(1, - 5)$.

Step2: Apply distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Since $x_1=x_2 = 1$, the formula simplifies to $d=\vert y_2 - y_1\vert$. Here, $y_1 = 7$ and $y_2=-5$, so $d=\vert-5 - 7\vert=\vert- 12\vert = 12$.

Answer:

12