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 b and d. the distance from station b to station d is approximately miles. (round to the nearest tenth as needed.)

Explanation:

Step1: Determine coordinates

Assume Station B has coordinates $(x_1,y_1)$ and Station D has coordinates $(x_2,y_2)$. From the grid, if we assume each grid - square represents 1 unit, say B is at $(0,4)$ and D is at $(0, - 4)$.

Step2: Apply distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ in a 2 - D plane is given by the formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $x_1 = 0,x_2 = 0,y_1 = 4,y_2=-4$. Substituting into the formula: $d=\sqrt{(0 - 0)^2+(-4 - 4)^2}=\sqrt{0+( - 8)^2}=\sqrt{64}=8$.

Answer:

8