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. (round to the nearest tenth as needed.) the distance from station j to station k is approximately miles.

Explanation:

Step1: Identify coordinates

Assume the grid - based coordinates of station J and station K. Let the coordinates of J be $(x_1,y_1)$ and of K be $(x_2,y_2)$. Count the grid - squares to get the coordinates.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Calculate the differences in x - coordinates and y - coordinates, square them, sum them, and then take the square - root.

Step3: Round the result

Round the calculated distance to the nearest tenth as required.

Answer:

(Without the actual coordinates from the graph, a numerical answer cannot be provided. If we assume J has coordinates $(x_1,y_1)$ and K has coordinates $(x_2,y_2)$ and after calculation with the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ and rounding, we would get the answer in the form of a number rounded to the nearest tenth.)