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

Explanation:

Step1: Identify coordinates

Assume the coordinates of station B and D from the grid - let's say B$(x_1,y_1)$ and D$(x_2,y_2)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Count the grid - squares to get the differences in x and y coordinates. Suppose the difference in x - coordinates $\Delta x=x_2 - x_1$ and the difference in y - coordinates $\Delta y=y_2 - y_1$.

Step3: Calculate distance

Square $\Delta x$ and $\Delta y$, sum them up and take the square - root. For example, if $\Delta x = 5$ and $\Delta y=3$, then $d=\sqrt{5^{2}+3^{2}}=\sqrt{25 + 9}=\sqrt{34}\approx 5.8$.

Answer:

(The actual answer depends on the coordinates of B and D from the grid. After counting the grid - squares for the x and y differences between the two points and applying the distance formula $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, round to the nearest tenth.)